{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Differentiating Through Dynamics.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/google/jax-md/blob/periodic_general_refactor/notebooks/meta_optimization.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "f8ZH9ERvVzDF"
      },
      "source": [
        "Copyright 2020 Google LLC\n",
        "\n",
        "Licensed under the Apache License, Version 2.0 (the \"License\");\n",
        "you may not use this file except in compliance with the License.\n",
        "You may obtain a copy of the License at\n",
        "\n",
        "     https://www.apache.org/licenses/LICENSE-2.0\n",
        "\n",
        "Unless required by applicable law or agreed to in writing, software\n",
        "distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "See the License for the specific language governing permissions and\n",
        "limitations under the License."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sPqQYKAtMp9f",
        "cellView": "form"
      },
      "source": [
        "#@title Imports & Utils\n",
        "!pip install -q git+https://www.github.com/google/jax-md\n",
        "\n",
        "import time \n",
        "\n",
        "from functools import partial\n",
        "import numpy as onp\n",
        "\n",
        "import jax.numpy as np\n",
        "\n",
        "from jax.api import jit\n",
        "from jax.api import grad\n",
        "from jax.api import vmap\n",
        "from jax.api import value_and_grad\n",
        "\n",
        "from jax import random\n",
        "from jax import lax\n",
        "\n",
        "from jax.experimental import stax\n",
        "from jax.experimental import optimizers\n",
        "\n",
        "from jax.config import config\n",
        "config.update('jax_enable_x64', True)\n",
        "\n",
        "from jax_md import space\n",
        "from jax_md import minimize\n",
        "from jax_md import simulate\n",
        "from jax_md import space\n",
        "from jax_md import energy\n",
        "from jax_md import quantity\n",
        "from jax_md.util import f32, f64\n",
        "\n",
        "\n",
        "# Progress Bars.\n",
        "from IPython.display import HTML, display\n",
        "import time\n",
        "\n",
        "def ProgressIter(iter_fun, iter_len=0):\n",
        "  if not iter_len:\n",
        "    iter_len = len(iter_fun)\n",
        "  out = display(progress(0, iter_len), display_id=True)\n",
        "  for i, it in enumerate(iter_fun):\n",
        "    yield it\n",
        "    out.update(progress(i + 1, iter_len))\n",
        "\n",
        "def progress(value, max):\n",
        "    return HTML(\"\"\"\n",
        "        <progress\n",
        "            value='{value}'\n",
        "            max='{max}',\n",
        "            style='width: 45%'\n",
        "        >\n",
        "            {value}\n",
        "        </progress>\n",
        "    \"\"\".format(value=value, max=max))\n",
        "\n",
        "\n",
        "# Matplotlib settings.\n",
        "\n",
        "import matplotlib\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "  \n",
        "sns.set_style(style='white')\n",
        "sns.set(font_scale=1.6)\n",
        "\n",
        "def format_plot(x, y):  \n",
        "  plt.xlabel(x, fontsize=20)\n",
        "  plt.ylabel(y, fontsize=20)\n",
        "  \n",
        "def finalize_plot(shape=(1, 1)):\n",
        "  plt.gcf().set_size_inches(\n",
        "    shape[0] * 1.5 * plt.gcf().get_size_inches()[1], \n",
        "    shape[1] * 1.5 * plt.gcf().get_size_inches()[1])\n",
        "  plt.tight_layout()\n",
        "\n",
        "def draw_system(R, box_size, marker_size, color=None):\n",
        "  if color == None:\n",
        "    color = [64 / 256] * 3\n",
        "  ms = marker_size / box_size\n",
        "\n",
        "  R = onp.array(R)\n",
        "\n",
        "  marker_style = dict(\n",
        "      linestyle='none', \n",
        "      markeredgewidth=3,\n",
        "      marker='o', \n",
        "      markersize=ms, \n",
        "      color=color, \n",
        "      fillstyle='none')\n",
        "\n",
        "  plt.plot(R[:, 0], R[:, 1], **marker_style)\n",
        "  plt.plot(R[:, 0] + box_size, R[:, 1], **marker_style)\n",
        "  plt.plot(R[:, 0], R[:, 1] + box_size, **marker_style)\n",
        "  plt.plot(R[:, 0] + box_size, R[:, 1] + box_size, **marker_style)\n",
        "  plt.plot(R[:, 0] - box_size, R[:, 1], **marker_style)\n",
        "  plt.plot(R[:, 0], R[:, 1] - box_size, **marker_style)\n",
        "  plt.plot(R[:, 0] - box_size, R[:, 1] - box_size, **marker_style)\n",
        "\n",
        "  plt.xlim([0, box_size])\n",
        "  plt.ylim([0, box_size])\n",
        "  plt.axis('off')\n",
        "  plt.gca().set_facecolor([1, 1, 1])\n",
        "\n",
        "\n",
        "# System property utilities.\n",
        "\n",
        "def box_size_at_number_density(particle_count, number_density):\n",
        "  return f32((particle_count / number_density) ** 0.5)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_tu1Isw1Pyvi"
      },
      "source": [
        "## Optimization Through Dynamics"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "t_yj2rAUTGe_"
      },
      "source": [
        "Combining molecular dynamics with automatic differentiation opens the door for qualitatively new research. One such avenue involves differentiating through the simulation trajectory to optimize physical parameters. There have been several excellent applications so far in e.g. [protein folding](https://openreview.net/forum?id=Byg3y3C9Km), but until now this has involved significant amounts of specialized code. This vein of research is also similar to recent work in machine learning on [meta-optimization.](https://arxiv.org/abs/1606.04474) \n",
        "\n",
        "As an example we will perform optimize the parameters of a simple system to show that one can optimize for particular structural characteristics. In particular, we will imagine bubbles floating on water so that the bubbles live on a two-dimensional interface between water and air. It turns out that if the bubbles all have the same size and they are compressed then they form a crystal. Here's an example of a real experiment from [Wikipedia](https://en.wikipedia.org/wiki/Bubble_raft):\n",
        "\n",
        "![alt text](https://upload.wikimedia.org/wikipedia/commons/8/89/Bubblerraft2.jpg)\n",
        "\n",
        "However, if the bubbles have have different sizes, the crystal order breaks down and the system becomes random.\n",
        "\n",
        "<img src=\"https://physicstoday.scitation.org/action/showOpenGraphArticleImage?doi=10.1063/PT.3.4243&id=images/medium/pt.3.4243.figures.online.pt.3.4243highlight.jpg\" width=\"400\">\n",
        "\n",
        "We will show how one can control the structure of the bubble raft by differentiating through the simulation to tune how homogeneous or inhomogeneous the bubble sizes are. To experiment with these changes, we're going to set up a simulation of a bubble raft with bubbles of two distinct sizes. To keep things simple, we'll let half of the bubbles have diameter $1$ and half have diameter $D$. \n",
        "\n",
        "To control the conditions of the experiment, we will keep the total volume of the bubbles constant. To do this, note that if there are $N$ bubbles then the total volume of water filled by bubbles is,\n",
        "$$V_{\\text{bubbles}} = \\frac N8\\pi(D^2 + 1)$$\n",
        "where the factor of $8$ comes from the fact that our system is split into two halves and we are using diameters not radii. Since the volume of our simulation is $V = L^2$ if we want to keep the \"packing fraction\", $\\phi = V_{\\text{bubbles}} / V$ constant then we will have to scale the size of the box to be,\n",
        "$$L = \\sqrt{\\frac{V_{\\text{bubbles}}}{\\phi}}.$$\n",
        "We begin by setting up some experiment parameters and writing a function to compute $L$ as a function of $D$."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UAdc5Q2IUdN7"
      },
      "source": [
        "N = 128\n",
        "N_2 = N // 2\n",
        "\n",
        "simulation_steps = np.arange(300)\n",
        "dt = 1e-2\n",
        "temperature = 1e-5\n",
        "\n",
        "key = random.PRNGKey(0)\n",
        "\n",
        "packing_fraction = 0.98\n",
        "markersize = 260\n",
        "\n",
        "def box_size_at_packing_fraction(diameter):\n",
        "  bubble_volume = N_2 * np.pi * (diameter ** 2 + 1) / 4\n",
        "  return np.sqrt(bubble_volume / packing_fraction)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "92rZgq2fajJc"
      },
      "source": [
        "Next we need to posit interactions between our model bubbles. We'll assume that we can model a pair of bubbles by defining an energy function for the pair. We use an energy that is zero if the bubbles are not touching and increases gradually as they get pushed together. Specifically, we will consider two bubbles, $i$ and $j$, with radii $\\sigma_i$ and $\\sigma_j$ respectively. If $r_{ij}$ is the distance between the bubbles, we'll posit a function that looks like:\n",
        "\n",
        "$$\n",
        "U(r_{ij}) = \\begin{cases}\n",
        "  \\left(1 - \\frac{r_{ij}}{\\sigma_{ij}}\\right)^2 & \\text{if $r_{ij} < \\sigma_{ij}$} \\\\ \n",
        "  0 & \\text{if $r_{ij}>\\sigma_{ij}$}\n",
        "  \\end{cases}\n",
        "$$  \n",
        "where $\\sigma_{ij} = \\sigma_i + \\sigma_j$. When we run our simulation, by having bubbles move to try to minimize the energy between them they will naturally separate if they overlap.\n",
        "\n",
        "This is implemented in JAX MD using the function `energy.soft_sphere(r, sigma)` which takes a distance and returns an energy."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SE09re90h5wY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 306
        },
        "outputId": "6af6a251-b433-4f80-c302-fbe2f820b97e"
      },
      "source": [
        "plt.gca().axhline(y=0, color='k')\n",
        "plt.xlim([0, 1.5])\n",
        "plt.ylim([-0.2, 0.8])\n",
        "\n",
        "dr = np.linspace(0, 3.0, num=80)\n",
        "plt.plot(dr, energy.soft_sphere(dr, sigma=1), 'b-', linewidth=3)\n",
        "plt.fill_between(dr, energy.soft_sphere(dr), alpha=0.4)\n",
        "\n",
        "format_plot('$r$', '$U(r)$')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NZUHCU8YjsNL"
      },
      "source": [
        "Once we've assigned an energy, $U(r_{ij}, \\sigma_{ij})$, to pairs of bubbles, we have to assign an energy to to the whole system, $\\mathcal U$. As we will see, our simulation will make use of the forces, $\\vec F_i = -\\nabla_{\\vec r_i}\\mathcal U$. This is usually done by just summing up all the pairwise energies,\n",
        "$$\\mathcal U = \\frac12\\sum_{ij}U(r_{ij}, \\sigma_{ij}).$$\n",
        "Since we only have two different particle diameters, it is efficient to partition our system into bubbles of different \"species\" labelled \"A\" and \"B\". Since we have two different species this gives us three different $\\sigma$ to define: $\\sigma_{AA}$, $\\sigma_{AB}$, and $\\sigma_{BB}$. We know that $\\sigma_{AA} = D$ and $\\sigma_{BB} = 1$, but what should $\\sigma_{AB}$ be? Since the $\\sigma$ denote radii, it should be the case that $\\sigma_{AB} = \\frac12(D + 1)$. We can setup a helper function to setup the species now. \n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "snZhi-4muprR"
      },
      "source": [
        "species = np.array([0] * (N_2) + [1] * (N_2), dtype=np.int32)\n",
        "\n",
        "def species_sigma(diameter):\n",
        "  d_AA = diameter\n",
        "  d_BB = 1\n",
        "  d_AB = 0.5 * (diameter + 1)\n",
        "  return np.array(\n",
        "      [[d_AA, d_AB], \n",
        "       [d_AB, d_BB]]\n",
        "  )"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rD76oJ5evQUP"
      },
      "source": [
        "To compute the energy of the whole bubble raft in JAX, M.D. we use the helper function `energy_fun = energy.soft_sphere_pair` which returns a function that computes the soft-sphere energy for our bubble raft in its periodic box. We will feed the `species` and `sigma` definitions into the `energy.soft_sphere_pair` function. \n",
        "\n",
        "We will use this to write a simulation that takes a diameter and a random key, randomly instantiates the system, and then minimizes the system to its nearest energy minimum. We will have our simulation return the size of the box, the final state, and the energy of the state. To do this we will use the minimizer, `minimize.fire_descent` provided by JAX MD. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cEgLicJeHW5h"
      },
      "source": [
        "@jit\n",
        "def simulation(diameter, key):\n",
        "  # Create the simulation environment.\n",
        "  box_size = box_size_at_packing_fraction(diameter)\n",
        "  displacement, shift = space.periodic(box_size)\n",
        "\n",
        "  # Create the energy function.\n",
        "  sigma = species_sigma(diameter)\n",
        "  energy_fun = energy.soft_sphere_pair(\n",
        "      displacement, species=species, sigma=sigma)\n",
        "\n",
        "  # Randomly initialize the system.\n",
        "  R = random.uniform(key, (N, 2), maxval=box_size)\n",
        "\n",
        "  # Minimize to the nearest minimum.\n",
        "  init_fn, apply_fn = minimize.fire_descent(energy_fun, shift)\n",
        "  state = init_fn(R)\n",
        "\n",
        "  do_step = lambda state, t: (apply_fn(state, t=t), ())\n",
        "  state, _ = lax.scan(do_step, state, simulation_steps)\n",
        "\n",
        "  return box_size, energy_fun(state.position), state.position"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "x0h-FlhSvzFW"
      },
      "source": [
        "Now let's run simulations with two different values of $D$ and draw them side-by-side. In one case we will use $D = 1$ so that both species are the same and this will result in the same hexagonal configuration as in the warm up. However, we will then run a simulation with $D = 0.8$ to see what happens when all the bubbles don't have the same size."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "c3HXQM10nn1U",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 333
        },
        "outputId": "98eea145-c731-437e-9cbd-366cbf92a0ba"
      },
      "source": [
        "plt.subplot(1, 2, 1)\n",
        "\n",
        "box_size, raft_energy, bubble_positions = simulation(1.0, key)\n",
        "draw_system(bubble_positions, box_size, markersize)\n",
        "finalize_plot((0.5, 0.5))\n",
        "\n",
        "plt.subplot(1, 2, 2)\n",
        "\n",
        "box_size, raft_energy, bubble_positions = simulation(0.8, key)\n",
        "draw_system(bubble_positions[:N_2], box_size, 0.8 * markersize)\n",
        "draw_system(bubble_positions[N_2:], box_size, markersize)\n",
        "finalize_plot((2.0, 1))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 648x324 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bZzDPsMR5HLg"
      },
      "source": [
        "The hexagonal structure when the bubbles have the same size has broken down in the two-species case. To get a bit more insight into this we will use JAX's automatic vectorization capabilities (via `vmap`) to see how the structure and energy of bubble rafts depends on `diameter`."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "M4vOVw8654bH"
      },
      "source": [
        "ensemble_size = 40\n",
        "\n",
        "# Vectorize over both random keys and diameter.\n",
        "vec_simulation = vmap(vmap(simulation, (None, 0)), (0, None))\n",
        "\n",
        "sim_keys = random.split(key, ensemble_size)\n",
        "diameter = np.linspace(0.4, 1.0, 10)\n",
        "\n",
        "box_size, raft_energy, bubble_positions = vec_simulation(diameter, sim_keys)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PW5LgtPf7g-4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 299
        },
        "outputId": "7228dc08-4b4c-4110-e4c5-ce68f1f8451a"
      },
      "source": [
        "E_mean = np.mean(raft_energy, axis=1)\n",
        "E_std = np.std(raft_energy, axis=1)\n",
        "\n",
        "plt.plot(diameter, E_mean, linewidth=3)\n",
        "plt.fill_between(diameter, E_mean + E_std, E_mean - E_std, alpha=0.4)\n",
        "\n",
        "plt.xlim([0.4, 1.0])\n",
        "\n",
        "format_plot('$D$', '$\\\\langle E\\\\rangle$')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VhG5pUGRAIjZ"
      },
      "source": [
        "At small values of the diameter, the energy is low and increases with increasing diameter until a maximum in the energy at which point it drops precipitously. We can visualize an example system at each of these diameter disparities to see what is happening. We will color the bubble rafts by their energy."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "T7IXhjkMA8AQ",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        },
        "outputId": "3a3cbd45-100c-4686-d510-ce30a706e1e3"
      },
      "source": [
        "ms = 185\n",
        "for i, d in enumerate(diameter):\n",
        "  plt.subplot(2, 5, i + 1)\n",
        "  c = min(1, max(0, (E_mean[i] - 0.4) * 4))\n",
        "  color = [c, 0, 1 - c] \n",
        "  draw_system(bubble_positions[i, 0, :N_2], box_size[i, 0], d * ms, color=color)\n",
        "  draw_system(bubble_positions[i, 0, N_2:], box_size[i, 0], ms, color=color)\n",
        "\n",
        "finalize_plot((2.5, 1))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x432 with 10 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MSXDGgzCDhLG"
      },
      "source": [
        "When the diameter of the small bubbles is close to the diamater of the large bubbles the structure is close to hexagonal. Likewise, when the small bubble diameter is very small, the small bubbles fit into the interstices and regions retain the hexagonal order.  However, when the diameter is in-between (where the energy is high) the bubbles end up looking like they are arranged randomly. This is an effect known as the [Jamming transition.](https://en.wikipedia.org/wiki/Jamming_(physics)) However, could we have found this optimally disordered region without brute force? Let's try to maximize the energy with respect to the diameter, $D$, directly. \n",
        "\n",
        "To do this, we will run short simulation trajectories starting with the positions after minimization that we found above. At the end of the short simulation we will compute the energy of the bubble raft. We will take the derivative of the energy after the short simulation with respect to the particle diameter.  To do this we will make use of the JAX's `grad` function. The function `df_dx = grad(f)` takes a function and returns a new function that computes its gradient with respect to its first argument. \n",
        "\n",
        "One subtlety that is involved in writing this simulation is the use of periodic boundary conditions. Periodic boundary conditions incorporate the box size in the form of a modulus `dR_periodic = np.mod(dR, box_size)`. However, the modulus is not differentiable in its second argument and so information is lost. To ensure that gradients properly flow through the box shape, we must use `space.periodic_general` instead. `space.periodic_general` allows us to define points in a deforming box."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Sq_vLCPVk4-A"
      },
      "source": [
        "short_simulation_steps = np.arange(10)\n",
        "def short_simulation(diameter, positions, key):\n",
        "  L = box_size_at_packing_fraction(diameter)\n",
        "  displacement, shift = space.periodic_general(L * np.eye(2), \n",
        "                                               fractional_coordinates=False)\n",
        "\n",
        "  sigma = species_sigma(diameter)\n",
        "  energy_fun = energy.soft_sphere_pair(displacement, species, sigma)\n",
        "\n",
        "  init_fn, apply_fn = minimize.gradient_descent(energy_fun, shift, 1e-3)\n",
        "  state = init_fn(positions)\n",
        "\n",
        "  do_step = lambda state, t: (apply_fn(state), ())\n",
        "  state, _ = lax.scan(do_step, state, short_simulation_steps)\n",
        "\n",
        "  return energy_fun(state)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EREdLt3gZoBG"
      },
      "source": [
        "Next, let's take the derivative of the energy with respect to the particle diameters and vectorize it over the ensemble of initial positions.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4PQfNBSJZpgF"
      },
      "source": [
        "dE_dD_fun = grad(short_simulation)\n",
        "dE_dD_fun = jit(vmap(dE_dD_fun, (None, 0, 0)))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FJ6FF2y9aB-q"
      },
      "source": [
        "Now, we run the simulation for each diameter and record the gradients over each member of the ensemble. We then plot the average gradient against diameter and compare it with the energy that we found by directly simulating the bubble raft."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mtAxOR61y0FK",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "7e897b9e-3521-4bdb-8f57-b4c2a8400ea4"
      },
      "source": [
        "dE_dD = []\n",
        "for i, d in ProgressIter(enumerate(diameter), len(diameter)):\n",
        "  key, split = random.split(key)\n",
        "  split = random.split(split, ensemble_size)\n",
        "  dE_dD += [dE_dD_fun(d, bubble_positions[i], split)]\n",
        "dE_dD = np.array(dE_dD)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "        <progress\n",
              "            value='10'\n",
              "            max='10',\n",
              "            style='width: 45%'\n",
              "        >\n",
              "            10\n",
              "        </progress>\n",
              "    "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xfZ294vdpwis",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        },
        "outputId": "4e11422c-f388-4fc3-c2a1-9e52eac527c5"
      },
      "source": [
        "plt.subplot(2, 1, 1)\n",
        "\n",
        "dE_mean = np.mean(dE_dD, axis=1)\n",
        "dE_std = np.std(dE_dD, axis=1)\n",
        "\n",
        "plt.plot(diameter, dE_mean, linewidth=3)\n",
        "plt.fill_between(diameter, dE_mean + dE_std, dE_mean - dE_std, alpha=0.4)\n",
        "\n",
        "plt.xlim([0.4, 1.0])\n",
        "format_plot('$D$', '$\\\\langle \\\\partial E/\\\\partial D\\\\rangle$')\n",
        "\n",
        "plt.subplot(2, 1, 2)\n",
        "plt.plot(diameter, E_mean, linewidth=3)\n",
        "plt.fill_between(diameter, E_mean + E_std, E_mean - E_std, alpha=0.4)\n",
        "\n",
        "plt.xlim([0.4, 1.0])\n",
        "\n",
        "format_plot('$D$', '$\\\\langle E\\\\rangle$')\n",
        "\n",
        "finalize_plot((1.25, 1))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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BwGy2xOwqCwZjnlObPkknvCVTKYmo29SHUS4MD+N1UxeNLGoEM8piFvcthodEbPeFh42qfw/0r/IY3zcBrX4R6eRcgQtX55dMD80uFHnq1ARPnZqgO+kxMpTmyFCannR0a/4wa8iFh8ldnlggFnXpTprzRVJd8e1umhAr2si20STwx8D3r3DfReD3gN/TWi+03jwhmhNxbTLpKJkVPhCqowDV6ZO5XIn5cGRjPrf+6EZ1u++Koxu2VRvRWB46bMdhdGxhcc3DTJ7sGj9B1/NcuxYaqqMPyVhz4WUvsm2LVDxyzSLScsXn4vgCZy7PXRMuZurDRcpjZN/itMh2qx44d2UyS67ssz8TZ+dOXom9quk1FEqpe4A3A1ngG5jRiW7MDo6jmJ2Np4F3aa2faWtrt84RZA1FQza6PmAnMqMbxdq2xsWRDTPasdmjzRHHprc7urhdsztGKh7ZM+Fhq99L5YrP6NgCZy/PcWFsftWFrT0pM3JhpkW2P1ykUzHiEZsbD2dw98Zbo2myhmJ9276GQin13ZgwcR/wA1rr8WX3HwN+CXgPcL9S6nat9bl2NFSIzWZGN2Jk0rFr7vODgGw+HN3IFZcsEp3Llhpe61DlOhaZ9NJpi67k3gkPO4Hr2LWgUA0XZy7PMbosXEzPF5l+cYInX5ygJ1Vdc9FFd2r13Syb7epUlkrFR430EnWtthUnE6IVzU55/CCQB35weZgA0Fq/APxbpdR9wJ8BfwG8oeVWCrHNzIJNM4Q+ROKa+4ulSi1cLJ9KKZQqdCW8JVMX3UlPDprbQerDRam8dFqkflfR9HyRJ16c4IkXJ8iko7U1F2ttld0sE7N5njk9wU1HeolHbAkVYts1Gyhux5TRvrrWg7TWn1BKvQL490qpu7XWD264hULsAl7EoTfi0Nt17ehGJ00L7QURd2m4GB2bD0cuFpaEi6m5AlNzBZ54YZxMOlrbLbKV4WJmvsDTp8a5+WgfqaiLlAEQ26nZQDEE/GODj/0t4H3A92LO+RBC7CKWBfFohK6ER39PDMexw5ogRbKFcq2SaycXYYq4Nkf2d3Fkfxelss+FsXnOrhEuHn9hnN6uKCP7ti5cLORKfPPUODcd6aUn6XX0/w+xszUbKJKYE0XXpbWeVEp9A7O1VAixC0Rcm0R4WmamK0osPOm2WlypL6wyWfF9iuWASsUnX6qwEG7VzRXKtaqt21GWfTNFXJuj+7s4Wg0XV8ORi/GFJR/ik7MFJmcXw0V15CKd2LxwkSuUeeb0BMdHeulLe/hSxVtsg2YDhQVNHbj5DPA9TX4PIcQWsSxIxCJ0JT36u+Mk4y7x8Ijx6odk/Yel+bX5vedY4DjEPacWNPwwaJR8M3qxkCszny2yUCib0vAdEjQirs3RA10cPdBFsVzhwtWF2shFfa2Tarh47Plx+rpijAylNi1cFIoVnj09gTrcy0BPTIpgiS232dVwpjCFr4QQO4QXcUjGzLHamXSU6LJRiOq5Lc2oDxoRxyLiOCQiDr2pKJaVCoOGb07rLfu1EY1soRwegNfcLpmdxHMdrjvQxXV14eLM5TkuLgsXE7OmiNljz4/T1x2rjVyk4pG2taVU9vnW2UnKfg/7e+MEMlIhVmFvQuHfjQSK/6CU+tfAo8DJ8PbxVQpZ+YCUdRNiG9m2VSvj3N8dM2dEeA4WrDgK0U5Lg4ZNxIG459CT9LDtFH4QhEHDJ+K5XJ1YYCFndsdUT+Et76JTOJeEi1KF81fNmouL4wtL6phUC5w9qsfo747VFoG2I1yUKz7Pn5uiXPY5NJCU3R/iGpYN47NFMqucHLxRzQaKe4DbgOPh1w+F1wOl1PMsBoxHgcfa1chmKKVs4IPATwIjwGXgE8BHtNay1F7sCdGIQzIeoa87Tk/KI+a5eK6N7/tmBCI8jG27BEFAJaz1ELEtIrbDQH+KCCYA+UFAqexTqviUyuZY9Go59VLdabo7mRdxuP5gN9cf7K6FizOX57i0LFyMhyXYq+HiyP40I/vSJFsIF74fcGp0moofMLIvjaQKAWaKs1QJOD06S6nsc2ykt62v31Sg0Fq/HUApdRS4o+6rPmT8cPhwH9iO8tsfBX4W+CTw28CtmGJbJ4B3b0N7hNh0jm0Rj7n0pKL0dcdJRN1rRiEqO/wDGJYGDde2cG2HeMShO+FxsD+BHxAGjYBSpUI2VzY7T3JFiiWfYrlCucHTWLdSfbgolCqcvxKOXEwsLPmsr4aLk98aY6BnceQiGWs+XAQBnL44Q7nsc/RAF5t3tJ3YDWzbYjZb4vlzU8xmi/T3tH/yYENrKLTWpzHltf+2ei2sklkfMm4FumhuEWdLlFIngPcDf6i1fm/d9cvAbyil3qm1/vxWtUeIzRT1HFJxj/7uGN2pKLGITcR1asFhu0ch2skEDfNrEzQs4hGb7riHbZsPz+oajVLFHH9e3eJaKPmUypWGj33fbNGIww3D3dww3E2hWDdysSxcjE3nGZuuhot4uOYiRTp1ba2TtZy/Okep4nNsuBtHKrHuTZbF6ESWl0anN/XvQdsWZYZVMl8A/gpAKWVhRizuaNf3aMAPYnaifHTZ9Y8B/wEzRSOBQuxKjm2RiEXIpM0oRDwaHh1ft4hyN4xCtNNKQSMWsemKR7D7TNCojmaUygEz8wWuTmXN2Sw7YBdE1FsMF/lihfNX5zhzaY7Lk9ll4SLH2HSOR751lZdd18etx/qaKtN+eWKBcsVHHc4QkQqte4ZlQbEScPri9JLAOp8tcWkiy5vuHGnr92vl+HILU2NiBLCBS8BprfUZAK11ADwXfm2VO4EZrfWS76m1nlZKPcfWhhuxBssyx1DbloVlmdLWlm1hL79um3MKyhWfim/qHlT8YEd8GGyFWNQlFYvQn4nTlfCIeQ4Rx6pNC8jWwJXVBw3HAsd1iLnQnYhwsD9JtlhhIvyQXsitfaz9Vol5DseGezg23EO+WOb8FTNysTxcfPOlCUrlCq+6abCpUDE+naNSCbhpJENUSnV3PNu2mF4o8vz5aeazxdr1y5NZ7n98dFMOuttQoFBKfR/wu5jKmVBXn0IpNQr8NfAxrfX5djSyCQeA0VXuuwC8tpkXSyQ8iqucQLhX1D7sww9682Ff/bW5TSfMoVauY+E4Nq5j49o2jmPh2OaauTW/t+1qYKj+2nwjJ/y1bdvYFuFjbXzfDGNXKmaRnl8JKPt+WKnR1Dsolirki2VK5YCK7+P7QS147IS6B40OUzu2RSzqkukyp44m4xGScQ9nj/xUOTCQ3rLvdeSg+eCenS8yNp1jYiZHrlDeER+0aWCgN8VtNw2RK5R5aXQGfXaKSxNmWZo+N01POsYdN+1r6nXLAZy+Ms/NR3vp7e7sDXhb+V7aaYqlCmcvz3L28jyWbdf+/dFnJ7n35IVNC9BNBwql1HcBn8IsuPw4ZgSiAvwMZuFjCvgQ8NNKqQ9orf+4fc1dVwKYWeW+fHh/w7LZ4q49g8GyIOq5tQ/wahBwbBvXsXBtG9sxQ8TVEGCHQ8a2Y+HYdl2QMK9p1wUKwqCRySSYm81hHlL90Atq/yib22Dx10EA1Z+uMW+cagWCUhN/PhuIWhCL2lgxJ2yjRUBAubIYJCp+EA57V2rho1CqUCia2geVigkg5tb8ut1/19Y7yyMedUnFw1GIuBmFcGxTWKqQLVKo++mik23XkdMWMNQdpS/lkS2UuTqVZXI2TzZf2hHhAuDwYJJDAwkeePISZy+bPnromcvYBBw71Fypn7n5PDNzeW4+2ktXPNKRo3179fhyy4JiOeDUxRmuTC7U/Tsc8OSLEzx1aqL22LjX/jJUG3nFX8aU375Da30KQCn1HqAXMwLwIPAdwK8Cf6CUymqt/6pN7V1PFlhtHCcW3t+RvIhN1HNJxz26Ux6peISI6+Da1EYCLAusFT70YfGDv9l/QD3Xwa+N4mz9P0xLizCZWxtq4WiRUxtRAXMbBCZElMORDD8I8MPplVKpQiEMIPlimUJY4XFpANlY+HBdm0TUpbcrTm9XLFwLYRP4i3+WTvxHfifz/QDHgnTMpWe4h0K5QjZf5spklsm5PLl8ebubiGVZvPblQ1T8gAtX5wF48JkrRD2Hw/ua+2k8my/xzZfMSaUZOf+jI1i2xcxCkefPTzGfXfzxrOL7fP3py5y+tBiwelIe33734ba3YSOB4hbgU9UwEfpF4H1a66+Hv/+sUupzmCPMf4dwoeYWuAjctcp9w6w+HbKrOI5FzHOJey6ZdIx0KkLUdYi6Do5jfrJdXulwccX/3v2HY6XwYWHqILA8fITTOBCGD+qmUComePhBQLliKkAWSxWKxXD0o1RZXPPhB7iOTTxmwt5AJk464RGN2Dj15a33+NTaTlKp+LiWRVc8Qs+hHgpln4V8iSuTWabnCuQK2xcuHNvmna8+wt/d9wKTswUC4KtPXuKtdzjs621qAJZ8ocwzL01wfCRDX5eU6t7VLIvR8QVOX5xZsosjX6xw/+OjXJ3K1a7t70vwhlceaGuF1qqNBIoKML3s2lHMGoUarbWvlPoAMKaUOrRF6ykeAd6ulLqpfmGmUqoHuAkzVbOrVKcu4p5DdzJKV8ojHjVFiiKuDUH9T7OLe/hFa1YLH45l4bjXjnyAVTcCYoJH2Q+o+BBPeORzxXAUIhwFCgOJ2Nl8PyBiW/QkPHpTUQoln7lc0YSL+QKF4taXDPciDm+5fZgvPHSOuWyJih9w32OjfPtdh8mkm1toVyxVePbMJDcezjDUE5eRil3GsiwKZZ+XRqe5MrV02/HsQpEvP3qBubrRimPD3dx18z7sTVqTtZFA8SRmlKLes8BHlVI/orU+W3f9FkyBq6sbbF+zPoWZkvk5TKXMqvdj/qyf3KJ2bJgXcYh6DumER08qSjLm4oVnLdQXKQL5qXanWDpdtPj/xLEsHAd6u2KMFUry/2uX8/2AiGPRlzYlzPOFCnO5EpcmFphdKFIsbV24iEdd3nrHMJ9/8Bz5YoVi2eeekxd4592Hm/7Js1z20WcmKQ/3cLA/KSMVu4RV3cVxboqF3NIVaFemstz/2EUKde/J29UANx/JNLUzqFlNBwqt9etXuPxB4LPAi0qppwCNOer8bcBfaq0LLbWy8bY9rZT6OPA+pVQSuA9TYOungM9qrT+3Fe1olOvYRD2HRNSlJx2jK+nhuTZexOyS8Ovm6DupSJEQu1kQQFAJ8Fyb/q4wXBQrzGaLXJ7IMrtQ2JIiWumEx1vvGOaLD52nVPHJFcrcc/IC77jrELEmF9xV/IAXL0xTqfgcGkzt5ZnRXSGwYPTqPKcvz15TGfb0xVn++enLtRFQx7Z47cv3MzK0dJ3NZuSKtizz1Frfr5R6BabE9TuAVwLzmDM0PtiO79GEDwBngfcC3w9cAf4L8Btb3I4lbMsi6jnEPIfuVNRUNvTMyIM56bFu9CHYewWKhNiNqjuXoq7NYHecwZ44uWKFmfkCVyazzGaLm1oKvLcrxptuO8g94VbA2YUi9z46ytvuPGSmRJvg+wEvXZyhXAk4MpRm836OFRtlpjgqnBqd4crk0j0GQRDw9EuTPPHCeO1azHN4020HGVhWZjvi2gxvwrZaq9ljihuhlHK11tu/LHrjjgCn7334LBMzufUeuyIvYsJDOuHRnY6SjEXwHJtoxPwl75S5yr26PasZ0keN6aR+Mgt5IVcsMz1nwsVcrtiWNU4rbUM+e3mOrzxxsfb7A/0J3nzb8Ibnyg8OpLjuQDfOLk0VnfReqrJti8n5Ii+cv3aKo+IHPPjMZU6NztaudSc93nL7MKnE0imwiGtzfKSXfZk4mUwSzBrIM+1oY1MjFEqp3wX+DvhqWAlzRbs8TDStOnWRjEXoSUVJrzF10SlBQgixuuoPavGIQ7I/yf6+BNlihcmZPFensizkSm0tuDYylOaum/fx0LNXALg4nuWfn77Ea1++f0Nz5qNj85QrPscOZXB3aajoJAFw9uo8Zy/NXnPKbqFU4SuPX+Ry3YjFUG+CN956AC/iLHmsF3E4PpKhvyu6KZ9FzU55vA9TwGpCKfUZ4O+BL2mt90blHUxKjEYc4lGX7lSUrqRH3HPxXIuITF0IIZap/nuQiDikBlN1pb/zjE1nWci351wRdTiyS9QAACAASURBVLiHXKFcK150+tIcMc/ljuMDGwoVVyazlMs+x0d68VxrxxT52kssyyJfrnDq/AxXp68tozSXNVNcMwuLH8E3HOzmrhP7rqmu60UcbjrSS2/Kw/fB3oTjZ5sNFAcwR4D/S+BHgPcAC2HNib8HPqe17phxJssyJwNGPYd0srrrIkLEMaEClo44yJZNIcRafD/AApKeQ3ooxfBgkmy+HB5bbkYuWvngfsUNfeSLZZ4/bwoGP3d2injM5WVHezf0ehOzeZ45PcHxI73E5fyPLWWmOAo8f26abP7aOsJjUznue3yUfN3W5VuP9fOy63qvCZBRz+GmI31hmNi8/4kbXkOhlEoD34UJF9+OKbldAL6MCRef0VqPtamdW+0IcPr8pRlsTBXKailk+Qu1VCfOVbab9FFj9nI/2bZFyQ/I5suMTWeZmFm99Pd6pdz9IOCBJy5y7sp87dprbhni+oPdG25fMh7hxNE+klH3mqJ5O9Fufy8FwIWxec5cnl3xB9Uzl+f42lOXauHAti1ec8sQR/d3XfPYmOdw89E+epZVRLVti76+FLRxDUVbFmUqpaLA24HvAb4T6MMUwPoGZs3Fp5fVp9jpjgCnJybmZc3DOnb7X9ytIH3UGOknw3EsCiWfbMGU/p6ay5OtK/29XqAAM9V6z8kLXAkrJFoWvOnWgwwPpjbcrnjM5eYjvXQndn6p7t36XqpOcbxwfprx6Ws3BARBwDOnJ3ns+cWdHNGI2ckxmLn2sLdY1OXE0ZX/n+3YQFFPKWUDb8CMXLwLOIQJXE9orW9v6zfbPEeQQNGQ3foXdytJHzVG+ulatm0qIVbPFZmay+NG3IYOLSyWKnzx4fNMzZkyQI5t8fY7DzGwwgdPo6Kew00jvfSmzTz8TrUb30uWDZNz5iyOlc6O8f2AB5+9wosXFs+/7Ep6vOX2g6QT3jWPj0ddThztoyux8gFwmxEomlqWoZT6FaXU8bUeo7X2tdb3aa1/Vms9ArwKUweis8/KFUKINquW/u5ORDh+uIfbbhzkYIOjDNUS3dXKmRU/4MuPXWB6fuN1BgvFCs+cnmBsuoC1SeWb9yIfOHt5nm++NL5imCiWKnz50QtLwsS+TJx33nV4xTCRiLm87Lp+0lt8mmyz6zw/Avyr+gtKqTWDgtb6pNb6l7XWNzfbOCGEEEa19Pf1w930dcUaek4iZkp0xzyziLxYMlMhy+sYNKNU9nnu7CSXJ3NYm7BTYC+xbYt82efZ05O8dHFmxfUS89kSn3/oHJcmFnd5XHegi7feeYio51zz+EQswonr+knFtn69SzveDr+glFrxrA6l1H6l1MYn7YQQQiyRiEY4djhDPNbYJr2usMCRG1apyubL3PPohZYONitXfPS5SS6MZTf1bIhOZtkwPpvnyRfGGF+lgOL4TI7PPXiWmfnFbaGvvKGP19wydM22UDCLZ2+5ro/UNi2ebVe+7Fvl+nuBqTZ9DyGEEJiCWepQBtdp7J/wvu4Yb7z1INXPoJn5Ivc+duGaIknN8P2AFy9McebKHEih7qb4wJnL8zzz0gS5wsp1IM9dmeOLD52vbQu1LXMmx8tv6F8xxKUSEV52XR+JqLNtO3G2YsBKBsWEEKKNgiAgk45y9EB3w4c8HehP8pqX76/9fmw6z1eeuNjSHHsQwJlLM5y6OMMOXqO5Y1SnOJ55aYLTF2dWrJZa3clx/+MXa/d7EZu33TnMdQeu3RYK0JXweNnRfhKes62lDeTDXgghdqHADzjYl2SoL9nwc47u7+LOmwZrvx8dW+Abz1xu6SfaIIDzV+d44fw0lV1Qo2K7WJbF2EyeJ14YY2J25V06vh/w0LNXeLSuhFM6EeE77h5hX29ixed0JT1OXN9H3Nv+wmNtOW1UCCHEdgi47kA3C7kSswuNnYBw00iGfKHM0y9NAnBqdJaY53K7GmipJZcmFihVfNThDBHZAbJEBTh/eZbzV+ZWPcOlWK7wwBOXuDi+ULs2mInzxlsPrHocfU8qys1Heom62x8mYGMjFDug2UIIIQA8x+LGw5lrDoJayyuP9XPD8GLlzGdOT/LsmcmW2zI+nePZ05MUy37DUzGdzLYtcqUKz7w0wZlLs6uGiYVciS88eG5JmDi6P83b7hxeNUxk0jFuPtqHt0PCBGxshOLDSql3AY+EX4fb2yQhhBCNCgLoikc4dqiH585MNrQmwrIs7r55H/lihQtXTYnuk98aI+a5q87TN2pqLs83X5rgpqO9JLzdUap7M1i2xdh0nhdGp8mvsvASYGImz72PXSBXWNx18/Lr+3jFDX2r7qDp7Ypx00gvkR12vnyzgeIe4La6r/dW71BKPQA8ATwZfj3dpjYKIYRYg+8HDPbEmR9Mc/bybEPPsW2L179iP/ecvMDVsET3Pz99iWjE4eBA4+syVjKbLfL0qQluPtpL1xYXV9oJfODsxVnOX51b889+/uo8X33yIuWw/oRtwatftva5K31dMY4f6d2R00pNBQqt9dsBlFJHgTvqvm4DXht+VXuvAiys8DJCCCHaLPADRobSzGeLqy76W851bN5020G++NA5pueLBAF85YlR3n7nIfp7WitunM2XzEjFkV4yyZ1//kc72LbFfL7MC+enmZpb+//Bc2emeORbiyWcPNfmjbceZKhv5cWXAP09cY4fzuDuwDABG1yUqbU+DZwG/rZ6TSl1jKUh41agG1lzIYQQW8IGbjyc4YkXx1Ys4bySaMThrXcM8/kHz7GQL1OuBHz50VHecddhulPXlnVuRr5Q5pmXJjg+kqGvK0bQwaHCsi2uTOd48cL0mkXDfD/gkW9dRZ+brl1LxSO85faDdKeiqz5vMJNAHc6ww2Y5lmjbLg+t9QvAC8BfASilLOA4JlwIIYTYArGIgzrcyzdPjTdcuCoRi/DWO4b5wkPnKZQqFEoV7jl5nnfePUKiwYqcqymWKjx3ZpJjhzMM9cQ7cqSiEgScHZ3jwtjaUxylss8DT15kdGxx8H6gJ8abbju46uJLgH29CW481LOjwwRsYh0KrXWgtX5Oa/0Xm/U9hBBCLBUEAZmU11TRK4DuVJQ3336wVqJ7IV/mnpPnKZY2XqK7qlT20WcnGZ3IdtShYrZtsVCs8PRLk5y7MrtmmMjmS3zx4XNLwsTIUJq33XlozTAx1JcMRyZ2fr9tOHqGIxB3AyOYYHIJOK21PtOepgkhhNiIwA842J9kPlfk0njjS9kGeuK84ZUHufexCwQBTM8XufexUd56x3DDZb5XU6kEvHB+inK5wmDGrBOofURaFlY4O25Z5le2ZebL7eojrfrHm+sBFtby6+EHr7Nme833amQDyrWPCZ+LxeXpHKfOT1NYJ3RNzua599FRsnW7PV52XS+3Hlu5jHbVgf4kNwz37JoKlBsKFEqp7wN+FxgKL1mEvayUGgX+GviY1vp8OxophBCiSUHA9U0WvQI4OJDkNbcM8bWnLgNwdSrHV5+8xBteeQC7xdEF3w84NTrD+XCrqhX+x9xatWBghXfUf9bWrtU/B2ofyPWPTSWj5HIlrPC6ZVmLt5iRhfrwYYfXLcushai2p3q9+lir+v0smJ0vcHF8AX+dVHJhbJ4HnljcyWFZcPeJIY4Nr76TA+DgQIrrD3bvmjABGwgUSqnvAj6F2cHxceA5zI6OnwFOACngQ8BPK6U+oLX+4/Y1VwghRKMijoU63MtTL46t+1N0vesOdJMvVDgZloA+f3Weh569wt0n9rXldNF2TKOspRJYzM03ttNlM33r3BSPPHu1tjMh4tq84ZUHONC/9rbcQ4NprjvQteuOXNtI+PllYBa4VWv9fq31x4Ei0IvZNtoPfDcmaPyBUuoH29VYIYQQjQsCSMddbjjU0/Tows1HezlxNFP7/QsXZnjixYl2N7Ej+UHAI89d5eG6MJGMubzzrsPrh4l9uzNMwMYCxS3A/9Zan6q79ovA+7TWX9da+1rrzwJ3AZ8EfqcN7RRCCLEB1aJXh/elm37ubTcOLKmc+fSpCb51dqqdzes4pbLPVx6/yHN1/dTfHeM7Xj1CT3r1baGWBSNDXbs2TMDGAkUFmF527Shwof6C1toHPgDsV0od2ljzhBBCtCrwAw7vS9Pf3VyxKsuy+LaXDS2pnPnwc1c5c6mxapx7TTZf5p8ePldbIwJweF+Kt7/qEPHo6isMqmHi6P4urF28q3YjgeJJzChFvWeBjyqlRpZdvwVThfQqQgghto0NHDvcQyIWae55tsXrX3GA/u5Y7drXnrrEpQkphFxvaq7A5x48y8RsoXbtxNEMb3jlgTV3yFgWHN3fzZGhdGPbTnawphdlaq1fv8LlDwKfBV5USj0FaCAJvA34S611YYXnCCGE2EIx1+HGwxm++dI45XJjRa/ALCZ88+3DfPGhc8wsFPEDuO+xUb79VYfpqwsae9Xo2AIPPHGRUlhIzLLgrpv2cePhnjWfZ1lw9EA3I4Op3Z4lgDYVttJa3w+8AvhTYBD4AeCNwCeA97XjewghhGhNtejVdU0WvQKIeQ5vuWO4VjnTlOi+0NSW1E70/Plp7n3sQi1MRBybN982vG6YsC2L6w/2cHgw3RFhAtpbevsU8BMASilXa91YIXkhhBBbJvADDvQlmc+WuDg+v/4T6qTiEd56+zBfePgcxZJPvljhnpMXeOfdh9dcI9CJgiDgsefHeeb0ZO1aIubyltuHyayx+BLMNNL1B3sYHkh21PkmDY9QKKW61n+UsVqYaOY1hBBCbJIg4LoDXXQlmz/8qycd5c23DeOE21DncyXuOXlh02tL7CTlis9Xnri4JEz0dUX5jrtH1g0Tjm1xw3APw/2dFSaguRGKcaXUfcA/AP/YaBVMpdQJ4F3hl4McFiaEENsu4lgcP9zLk00WvQIYzMR5/SsPcP/jowSBWZB43+OjvPX24XVKXu9uFT9gYibPyW9dZXxmsXDWocEUr335fiLu2n92x7a44VCGA33xjgsT0Fyg+HPgOzELLT+mlHoC+DTwGa31k9UHhWd8vI7FEHEUUyX1FPBHbWq3EEKIFgQBpMKiV8+dmWz6FNBDgylefWKIr3/TlOi+Mpnja09d4nWvPFArab3bFUsVxqZzXJ0yX+MzeSrL+ummkQy3Hx9Y98/sOBY3HuplqDdG0Ph62F2l4UChtf7xMCy8Gng3phrmrwO/ppQ6B/wj0AX8C0zVTIBHgT8BPq21fqadDRdCCNEa3w8Y7I6zsC+9odoSNwx3ky+Weez5cQDOXpkn9txVXnXTYFtKdG+1hVzJhIcwREzNrb5B0QLuvGmQ4yOZVR9T5To2Nx7OMJTpzOPbq5paRaO1DoCvh1+/oJQ6DvxLTLh4H1AG7mdx5GK0ra1dh1JKYRaG3gHcBqSB92utf28r2yGEELtFEASM7EsznysxPp1r+vknjvaSK1RqlSH1uWlinsMrbuhvd1PbKggCpueLXJ3K1kYgFvLr7yVIJyIM9MS58VB37dTUtbiujTqcYbCns8MEtLjLQ2v9LeC3gN9SSu0Dclrr7Syh9mrg3wMvAo8DK9XMEEIIUccCjh3qIZsvk82XmnuuZXHH8QFyxTJnLs0B8OSLE8Q9d92tk1upUvEZn8nXRiDGpnIU16nFYQG9XVEGMwkGM3EGeuK1bbONiLg26nAvAz2xjlwzsVw7t41eaddrteAzQEZrPaOUeiNw3za3RwghdoWY66AOZ3i6yaJXYELFa27ZT6FY4dJEFoCHnr1C1HMYGWr+DJF2yBfr1z9kmZgprHvUuOtY9PfEGeyJ1wLEegstVxNxbY6P9DLQHev4kYmqjto4rLWeXP9RQgghlguCgJ6w6NUL56eaLrbk2BZvvPUg//TIeSZm8gTAV5+6RNRzGOpdf2qgFUEQMF9d/zCVY3w2z9Ts+gWaY57DYCYefiXoTUebPpV1JV7E4fhIhv6u6J4JE9BhgUIIIcTGVYteLWRLjDZZ9ArMT+Vvuf0gn3/wHHPZEr4fhCW6D9Hb1b4S3X4QMDVXqAWIq1M5coX11z90JT0THsIRiHQi0vbFo17E4aYjvfSmPPwO3c2xGgkUa+jrS213E3aFgYHtGdLcTaSPGiP91JjN7qd4wiOwbeayzZfVTgPvfsMN/N19L5DNlymVfe59bJTvfdMNdCXXLvq0mlLZ58pklkvjC1yamOfyRJbSOtMytgUDmQT7+5Ls7zdfm13N04uYaY4DA3vzs2NHBgqlVA/wcw0+fF5r/V83ox0TE/N7arhqIwYG0oyNzW13M3Y06aPGSD81Ziv6ybJguD/Bky8uUCg2XwHTAt5y+0G+8NB5SmWfbL7Mp79yinfc1ViJ7nyxvGT0YWI2v+4UTMSxGcjEGMwkOLK/m0TUXnLKZ7lUZq60eSdCxDyHYwf7iNrsivexbVtt/6F5RwYKoAf41QYfewXYlEAhhBB7URBAKuZybDjDs2cmNvSDVSYd4823HeRLJy/g+wFz2RL3PnqBt7/q8JKFjkFg7quv/9DIgWPxqMu+2vqHOD3paK24VDoVY24+v84rtE8s6nLzkV56kt6e/iF0RwYKrfUZTMgVQgixDXw/YKA7xshQF6cvzmzoNfb1Jnj9K/bzlccvEgATswXuf3yUW4/118LD1akc+QZGQXpS3uICyp4Eybi7I4pnxaMuJ4720ZWI7OkwATs0UAghhNh+QRBwaDDFXLa4oaJXAIf3pbnrxD4efMZUFrg0keXSxLk1n2NbFn3dMQYzcfaF2zejnrOh77+ZEjGXE0f7ScXcPR8mQAKFEEKINdhsvOhV1Y2HesgXyjzx4sSK93uuzUDd9EV/V2zHHzKWiEU4cV0fqahL0Owe2w7VUYFCKdUNvD/87dHw9tvDRZ4Af6G1Prv1LRNCiN0r5jqokQzfPDW+7u6K1dxyfR9lP+CZlyZJxNxa7YfBTJyelLcjpi8aYVsWPekoNwz3kIw6EibqdFSgADLAR5Zd+87wC+BrgAQKIYRoQhAE9CQ9jm6w6BWYapq33TjArcf6d014qGfbFr3pGIf2pelOelgEG+qHTtZRgUIWcwohxOYwRa8SLORKjI41X/SqareFCce26OuOc2hfmq64+cgMggDJEtfqqEAhhBBiEwVw9EA3C7kS0/Prl7bezVzHpr8nzvBAinQiQuDLiMR6JFAIIYRoWMSGY4czPPXi2IaKXu10EddmoCfB8ECKZNw1QUJ2cDREAoUQQoiGBQGkYy43hkWvKh3yYetFHAZ7ExzoS9a2gUqQaI4ECiGEEE3x/YD+HlP06qUNFr3aKcxpqOasj4Tn4PuB1JTYIAkUQgghmhb4AcODKeayJcams9vdnKbFoi77+5IM9SWIRyRItIMECiGEEBtiA8eGu8kWSizkNlb0aqvFYy4H+1MMZhLEPZtKRYJEu0igEEIIsWHRiIM6nOHpFopebYVkPMLBgZQp4+3a+H5ApSJBop0kUAghhNiwIAjoTnpcd7CH589N7ritlalEhOGBNP3dMbwwSMiIxOaQQCGEEKIlgR+wvzfOfC7F6NWNF71qp3TS4/Bgmt6uKBFHgsRWkEAhhBCidQFct7+bhez2Fb2yLOhKRlFHe4k5Fo5lEQQSJLbKzj7OTQghxK7h2nDj4QyxLT5q3LIgk45xy/X9vPKGfkaGurBBDu7aYjJCIYQQoi2CAFIxl2OHMjx7evOLXtm2RU8qyuGhLroTEWyLHbeGYy+RQCGEEKJtfD+gvzu6qUWvHNsi0xXj8L4uuhIuFiZISJjYXhIohBBCtFXgw/BgivlsiattLHrlOBb93XGGB9Ok45EwRSAnf+4QEiiEEEK0nQ3cMNzNQhuKXrmuzUBPnIMDKdJxc/KnDEfsPBIohBBCbIpWi15FXJvBTIKDAymSMYfARw7s2sEkUAghhNgUQRDQs4GiV17EYV9vggP9SZIxF78SEOzcIpwiJIFCCCHEpvH9gAN9cRZyaS5cnVvzsVHPYX9fyhzY5TkEfoAv5bF3DQkUQgghNlXgw9H9XcznSkzP5a+5Px512d+fZF/GBAnfD2RqYxeSQCGEEGLTORbceKiHp14cI1+sAJCIRTg4kGSwJ0E0IuWxdzsJFEIIIbZEtejVmUuzHOhP0l938qcEid1PAoUQQogtUS161Z3sl5M/O5Cc5SGEEGLLBD64tiVBogNJoBBCCCFEyyRQCCGEEKJlEiiEEEII0TIJFEIIIYRomezyWJkDYNvWdrdjV5B+Wp/0UWOknxoj/bQ+6aO11fWP067XtAI5sW0lrwW+ut2NEEIIITbZ64CvteOFJFCsLArcCVwCKtvcFiGEEKLdHGA/8AhQaMcLSqAQQgghRMtkUaYQQgghWiaBQgghhBAtk0AhhBBCiJZJoBBCCCFEyyRQCCGEEKJlEiiEEEII0TIJFEIIIYRomQQKIYQQQrRsT53loZSygQ8CPwmMAJeBTwAf0Vrnm3ytHwf+MPxtWms93862bpdW+kgp9WPAn6xy9/+ltf7PbWzqtmrHe0kp9Qrgw8AbgK7wNb4B/B9a6+JmtHsrtfheuh/TL6v5sNb6N9vU1G3V6ntJKXUT8B+AbwMGw+ffD/ym1vrFTWr2lmpDH90N/CrwasADngF+R2v9N5vW6G2glEoBPw/cAdyOqYT5d1rr72viNXqA3wS+B8gAGvio1vpP13vungoUwEeBnwU+Cfw2cCvwS8AJ4N2NvohSagD4L8ACkGx/M7dVO/roPwHPLbv2eLsauEO01E9Kqe8G/hdwMnz+FHAAU1ffBXZ9oKC1PvpN4I9WuP5/Ai8H/r/2NXPbbbiflFI3Y0onTwH/A7gIHMd88L5bKXWL1vrC5jV9y7TSR28BPg9MAP8V01fvBj6llMporf/HJrZ7q/UDv4Y5NuIk8F3NPFkp5QFfAl4G/C5wChMs/kQp1aO1/m9rPX/PBAql1Ang/cAfaq3fW3f9MvAbSql3aq0/3+DL/T/ABeAp4Efa3tht0sY++pLW+v5Naua2a7WflFJDwJ+HXz+hte64+vet9pHW+ksrvGY38AfAk1rrJzah2VuuDX/nfhJIAK/WWj9V9/wnMD/Bfx+w5ofATteGPvooUMb00Znw2u8rpT4L/I5S6m+01lOb1PytdgkY1lqPAiilmv235ccxoxs/rLX+ZPgaf4QJGf9RKfUJrfX4ak/eS2sofhCwMG+ueh/DvNl+qJEXCdPuDwM/TecdHNaWPgJQSqWVUpE2tm0nabWffgrzIfALWutAKZVUSnVauG/be6nODwBxVp9W241a7afu8PbSsuvV32dbat3OsOE+Ukr1ArcAD9SFiao/A9I0MTq902mtC9UwsUE/hJlO+uu61wwwoTQJvGutJ++lQHEnMKO1XjIUr7WexgzP37HeCyilosDHgT/TWv/zprRye7XcR6HPALNAQSl1Uim15ptwF2q1n94BfAt4o1LqRWAeyCqlPqeUOrYZDd4G7Xov1XsPUAL+svXm7Rit9lN1JOfPlFJ3KqUOKqXejPkAeJ66D4ZdrJU+8sLblYJV9dqdLbewA4TrVG4DHtJa+8vu/np4u+b7cS8FigPAasntAnCwgdf4ZWAA+IV2NWqHabWPspg5zp8DvhuzOKgf+LRS6r1rPXGXabWfbgwf8yngHzFzlL8JvBn4Wjglstu14+9bjVJKAXcD/7jWkOsu1Go/fRL4dczam4fD53wZGMMM8c+2qZ3bqZU+uoJZO3GXUiq+7L43hbfDrTWvY2QwI4DX9LXWehLIsc77sdOGWdeSAGZWuS8f3r+q8B+0XwJ+Tms91ua27RQt9VG4YnrJqmml1B8DT2PmKj/ZIbthWuonzDCrg1mF/+Hw2t8rpc5ihvM/CPxiOxq6jVrto+V+LLztpOkOaP3vXKCUGgWeAP43ZhHdyzGLVz+jlHpHB/yd23Afhf3z34CPAH+jlPo1Fhdl/ru61xeL/VBY5f513497aYQiC0RXuS/G+nON/x3zwdhJK4KXa7WPrhH+hPT7mG2R37bxpu0orfZTLrz902XX/xKzLueNG23YDtK291I4FPujmLndL7TetB2lpX5SSn0QMw37k1rrj2qtP6O1/o/A9wOvwYwW7natvpf+E2ZX3tswOx9OYUabfyK8vxNGcdqh2o8b7uu9FCgusvpwzTCrD6mhlPoezPDY/w1cp5S6QSl1A+YnTcJrI+1s7DbZcB+t40x427/B5+80rfZT9f7L9Re11iVgHDP0uNu18730tvC1PqG1LrfasB2m1X76OeA5rfWz9Re11v8EzLF2LY/doqU+0lr7WutfwkxXfxtwV/h61a3suk3t3O2mWGVaI1zcuuJ0SL29FCgeAbrDIjA1YRGPm4BH13ju4fD2k8ALdV/fE15/EvhKW1u7PVrpo7XcEN5eaaFtO0mr/fRweLtk7jZc9DsAXG1TO7dTO99L7wlvO226A1rvpyHM9NkSSikrvN4J09pteS9pree01t/QWj+stS5gFkdD5416bUi4EPMx4FXhqGC9V4e3a/b1XgoUnwICrh0CfD/mL90nqxeUUseVUtfXPeazmCHE5V/3h/f/KGYr4G7XSh+hlOpb/oJKqX2YgjSTmCqQnaClfsLUB4Br3zPvxfydbLQeyk7Wah9V7+vBbFV7ePlP4R2i1X56FjiulHrVsuvfi5nvPtne5m6LtryX6imlDmHWKX1da90JPww2bZW++itMdc0fqHuchVnXlQU+vdZrdkJ6bYjW+mml1MeB9ymlksB9mGprPwV8Vmv9ubqHPwecBY6Ez30RuKaErVLqO8NffroDFj611Eehp5RSX8GsNRkHrscUSslgCqV0wp74lvtJa/1PSqm/BX5WKdUPfBWzV/4nMdtJ/98t+YNsoja8l6r+NWbuthNHJ9rRT7+OWYx5T/g6L2HeS+/FjHTt6qJW0HofKaW+A7Pj7EuYPrkB0z85OqgwYZVS6meAnrpLx5VS1cXfD2itHwh/vdL7djIj9QAAIABJREFU6Q+BfwP8T6XUyzHrTb4XeAvwofV2WO2ZQBH6AKYD34sZYbiCWazzG9vZqB2mlT76FGZB4Tsw60umgK8Bv621/voaz9uNWn0v/Qim0uqPhc+fwPxl/rDWeq7djd0m7fj79mOY1eWdUE9hNRvuJ631p5VS3wb8Cqbg3j5MmP9r4FdbLHK0k7TyXjqDKYD1QcwH7SXMqMZHOnTH3ocw551UncDscgETQB+45hkhrXVRKfVWzELW92D66wXg32qt/+d639gKgo6r+iuEEEKILbaX1lAIIYQQYpNIoBBCCCFEyyRQCCGEEKJlEiiEEEII0TIJFEIIIYRomQQKIYQQQrRMAoUQQgghWiaBQgghhBAt22uVMoUQO4RS6p8wJ4lWBcAC5hTWRzHnCnxGay3V94TYBaRSphBiWyilJjDnvHwEEyYsoAs4DrwJiAL3Au/uoHLkQnQsGaEQQmw5pdR1QC+gtda/usL9Q5gRijcDfwz8q61toRCiWbKGQgixHe4Ibx9d6U6t9WVMiMgC36+UOrpVDRNCbIwECiHEdqgGipOrPSA8CfIb4W/v3vQWCSFaIoFCCLEd1hyhqDMR3vZsYluEEG0ggUIIsaWUUhZwG2Yh5uPrPLw7vJ1Y81FCiG0ngUIIsdWOYYLC8w3s3rgxvNWb2yQhRKskUAghttq66ycAlFI3AkeBi1rrJze9VUKIlkigEEJstUbXT/xiePv7m9gWIUSbSKAQQmy1dQOFUupHgH8DnAE+tgVtEkK0SApbCSG2jFLKBm4FfOCxFe7vA34J+HlgCniXVMkUYneQQCGE2ErHgRQwB3xIKQVmpDQDnABeDcSAfwZ+VGt9epvaKYRokgQKIcRWqk53pIFqye0cMA2cBv478L+01l/fhrYJIVogh4MJIYQQomWyKFMIIYQQLZNAIYQQQoiWSaAQQgghRMskUAghhBCiZRIohBBCCNEyCRRCCCGEaJkECiGEEEK0TAKFEEIIIVomgUIIIYQQLZNAIYQQQoiWSaAQQgghRMskUAghhBCiZXLa6MqiwJ3AJaCyzW0RQggh2s0B9gOPAIV2vKAEipXdCXx1uxshhBBCbLLXAV9rxwtJoFjZJYCpqQV8X453X0tfX4qJifntbsaOJn3UGOmnxkg/rU/6aH22bZHJJCH8vGsHCRT/P3t3HhzJed55/puZdV+oQqFwN4A+sw8eYvMSRdGipLUk+tQ4xrHhK0YTYUurcciSYmM9slfhnZXGnpG8O5pdrz3hkSd8hMxZeWZ2ZEkWbcm6SfGmyG6ym0n2AXQ3bhSAuu/M/SOr0NVN3HUCeD4RLbCrUInsVBXqV+/7vM+7vgqAaVoSKLZBrtHW5Bptj1yn7ZHrtDW5RtvWtGl9KcoUQgghRMMkUAghhBCiYRIohBBCCNEwCRRCCLFHKEqnz0CIjUlRphBCdJAdEhQUBRRFwcKiUrEoV4vCTcvCNKFUqVAsmZRQUCxwaooUHoquIoFCCCGa7PaQABYVs/qnYlGxwDRNKqZFsVShUDIplirki2UKpYr9PaZJufq1UrkZHEIBD6ZZoT/soy/sxe/WAAXLknAhOksChRBCbJOi1EICgELFtDBNk7JpBwTT4taQUA0IhVKFUsVcCwq1r7vJABaQzpZIZxNMzScJ+d0MRf30BFx4XRpmRYKF6AwJFEKIA602ilALCRaWPTJQMe2RBMueeiiWKpRK5lpAyBdrIcGsjjzYQcFs40hBpWKxksyzkszjdmlEgh6Gon4CXqdMiYi2k0AhhNj3FMX+n2LZfGtdQtGkUK5QKFbIF8p2SKiOIpSrYWEvvDEXihXm4hnmlzP4PE76wz5iYS8+j4YiUyKiDSRQCCH2LU1TKZQqJLNF5uJZ0rnizdGHPRASdsOyIJMrcTWX4Fp1SmQw6iMccON1y5SIaB0JFEKIfUVVFcqmRSZfZmE5SzyZI5svd/q0dsyyLIolk3S+RCZXIp0rUa5YnBjvxePY3vrRimmxksqzksrjdlanRPr8+L0OXJq6J0ZexN4hgUIIsefVpjSyhTLxZJ755SyZbKmt9Qw7ZVkW+WKFdDUsZHIlMvny2n/XAsTtXnlziTuPRrnraBRV3X5jikKpwtxyhvkVe0okVp0S8cuUiGgSCRRCiD1LVRXypQrJTJHZeJZEpkC5bHb6tAB7c6psobwWDm4PC5l8eVcjBBZw7nKc2XiGR+4aJuBz7uzx1SmRTC7B9fkkQZ+LoT6/PSXi0mTUQuyaBAohxJ6iqgqlikUmX2IunmU5lSdfaP+URsU0yeSqISFfuvnf1cCQLZR3tSy0nkNT8HucBLxO/F4Hq+kiCys5ABZX83ztR5M8eHqAI8OhXf4bLFbTBVbTBdxOjXDQzVCfvUrE7VBv6X8hxFYkUAghul6tg2S2UGFpNcfCapZMrtTwG/ZmSmWTTL5UFxLqRxtK5AqN7/rscqj4vTcDQ8DjvOXvbqdWbYxlMy2LN28kee7CHJZln+OT52aZWcrwwOl+XA5t1+dSKFWYX84yv5zF73XSF/bSH/bi8zjQFFmCKrYmgUII0ZVq/SGyxQqJdIG5eJZkttCUT82WZVEsmzcDQt1IQ+3vhVLjgcHj0qrhwInf4yCwFhbswLDTAKAqCvedGqA36OKHr8ySzpUAuDKTZGElxyN3DxELexs+70w1RN2YTxH0uRiM+gkH3fhcGpZltTTIib2rqwKFrusq8EngI8A4MAd8CfisYRj5bR7jbuDTwLuAUPUYTwP/zDCMYivOWwjRPJqmUCiZpHIl5uIZVlIFig28uZumxcxShpmlTF0BpN1vohEK4K2GhFpYWBtd8NiBwaG1Zv/FWNjLzz48wXMX5rk8kwQgnSvx989e4+5jfdxxpBe1CTuJ1U+JuJwa4YA9JRL0OnE7ZUpE3KqrAgXwBeC3gMeBzwP3AJ8CzgAf3OrBuq7/HPBfgReqj18BhoFHsP+tEiiE6EKqqlAoVkjnyyysZllazZPNlxo65koqz+XpJFdmkuSLOw8kqkJ1ZKE6HXFbWPB7nDtaZdFsTofKw3cNMRzz88xr85TKdivvl99cYmYpwzvvGiLg3VnB5maKpQoLK1kWVrL4PPaUyEDEi9/tRFWRKRHRPYFC1/UzwMeALxqG8eG62+eAz+i6/phhGE9s8vhB4K+qf37DMAx5dgvRxWpLPXPFCvFknvT1BPPxdENvTPlimaszKS5NJ1hJFTb9Xk1V6kYVHHXFj/bfvW7HLfUL3erwUIhYj5cfnptlcdUu2FxYyfH1pyZ5+5kBJoZ2V7C5mWy+xLW5EjcW7CmRoaiPSNCDx6WBTIkcWF0TKIBfwh5F/MJtt/8R8HvALwMbBgrgo4AP+G3DMCxd1/1AwTCMvdfRRoh9TFXtKY1ktsjsUoZEpkCpbBIMeHYVJiqmxY2FNJdnkkwvptd9M/O6NfuNN+xdCwy3FzzuZQGfk/c/cIjzV+KcuxzHsqBYNvnBK7NML2V44NQATkfzp19M0yKRLpC4bUok4HXicWpUGpxWEntLNwWK+4GEYRgX6280DGNV1/WLwH1bPP4DwOvAo7qufx44CpR0Xf9H4OOGYbzZipMWQmxNVRXKFZN0vsL8coblZJ5cA0s9LcsinixweTrB5Gxq3QJKVVUY6w9wdKSHoaivo9MTu6Eo4HRoOB0qbqdmByGPk4Jpkkq/taRMVRXuPtbHUNTPk+duFmxenr5ZsNnX03jB5kbeOiXioT/sw+9xoKmySuQg6KZAMQxMb3DfDeCdWzz+BGACXwb+H+AHwF3A7wBP6rp+t2EYczs5oWg0sJNvP7BisWCnT6HrHdRrVCpXSKaLLK7mWFzJrvVmcDgdBJ1v/fUTDHg2PV4mV8K4tsLrU8usJNef0hiM+jg53sux0TBu1+6XUbaLQ1NwaCoOh4rPbU+7eD0OPC4Nl0PD5dJwO7W1QJTNlzBNiCfWr1MPBjyMDob4wY9v8Ma1VQBS2RJ//8w1HjgzyD16f1MKNreyki6RyCTxeRwMRn1Ew15CPhdaiwpVb3dQX3Od1E2BwgckNrgvX71/M0FAA37fMIxPV2/777quTwF/jr165F/u5ITiDc7nHgSxWJDFxVSnT6OrHbRrpGoKuUKte2WGZKZIeRtD38GAZ91P3uWKyfWFNJenk8wuZVjvFenzODg6HOLoSA8hvwuAYrFEsdhYYWezqKqCy6HidNjhIOB14vM58bocODUVh6bgdKioit0C2zQtKFcolisU85CuO1YsFuRQn590usBSIrfhz3z76QH6wx6efW2BUsXEtOCZV+e4OpPgnXcN4fc0r2BzM4kUzC6mcDlVevz2lEgk4KaVkeagveZ2Q1WVpn9o7qZAkQXcG9znqd6/mRwQAP7ittv/Gvgz4NEGzk0IsQlNUyiU7c6Rs0sZVtJ5CrtYWVFjWRaLq3l7SmMuRWmddtoOTWFsIMjRkRCDvb6O10PYUxTq2jRFbYrC53HidKg4NBWnpuDQFCyLt/RzsEyLyrpx6a00BfTxCJWr9uZfGzky3EMs7OWHr8yyVB3RmF/O8bWnJnnozCDjg+37FF8smfZI1WqOvrCXY6NhfNLqe1/ppkAxAzy4wX2jbDwdUjMN6Nh9J9YYhlHSdX0JiDR8hkKINaqqYFqQyZdYWM2xtJojk2tsRCCdK3FlJsnl6QSp7PrHGuj1cnS4h/HBYEsKDbfi0NRqcFDxuh1rS0s9LgeapuDUFJyaiqKAafKWTbea1bvBqSqcmojw6pU4yczGK+KDPhcfeHCMc5fjnL8cx8J+c//+yzMcH+3hvpP9bb+OtefKsdEwfT0eLAkV+0I3BYrngffpun6qvjBT1/UwcAq7NmIzz2EHilHs4sza491ADLjU9DMW4oCpX+q5ksozF8+SyhYb+pRZKptcm08xOTfN9GJ63e8JeJ0cHQlxdLhnx5th7Yaq2FMQTqeK2+nA77GDg9dTnaKoTmGoqlodabh1tKFdn7rdDpXTh6O8emWJ9AYBDOzw97bjfQxFfTx5bpZMdTv3N28kmF/J8chdQ0R7Nq9fabZcocxrV+OM9gcZHwjgUBVZbrrHdVOg+DLwu8AnsDtl1nwM+zwfr92g6/pJoGQYxuW67/sS8GvYy0c/Xnf7hwGVzZecCiE2oar2lEYqW2RmKUMiXVh3GmK7LMtifjnH5ZkEU3Opdbfpdmoq40P2lEZ/2NuSKY1bpiiq+2j4PPaSUk1VqlMVClisTVPc/DfQ8WWRlgVep8rpiSivXolv2QxsoNfHzz48wTOvzTM5Z9cYJDNFnnhmintOxDg9EWnr1JFpWlybS5LMFDk+Gibo1TBlpeme1TWBwjCM87qu/wnwm9UeEt/F7pT5UeDrhmF8o+7bLwJTwETd47+p6/p/AX5L1/U+4IfAndjh5HXg/27LP0SIfaIWIrKFMvPLWVZSeXL5xtq6pLLFte6V6Q2mR4aiPo6O9DA2EGhq62qf59YW2R63w15hoapvLYisY3Z5e2nLAr/bwZnDUc5fWdpy51WXU+ORu4cYifl59sI85YqFacGLxiIzSxkevnMIn6e9bw2rqTyvXFrk6EiYgYiHbZaSiC7TNYGi6uPYQeHDwC8C88DngM9s8/G/CpwDPlR9fBz4IvBpwzCk5FeILWiaSqFUIVMos1ANEdkGQ0SxVGFqLsXl6gZW6+nxuzh9OMpInxdfE1cfvHX/CW3dKYqdFER2I8uyCHgcnJ7o5bWr8S0LYhVF4ehItWDz3OzaEtTZeJavPTXJO+4c5FB/e5fNF0sVXp+Ks5r2c2SoB5dDpkD2GuX2giEB2CMfV2XZ6NZkedbWuv0a1ULEzZGIQsP7aJiWxVw8y6XpBNfn01TWeR25nCqHh0IcHQ4R7fEQCnrXXTa6U6qqEKrukBkJuvG41LUpi/1gs+eTqiosp4pcmIxve0M107R4+dISr15ZvuX2E4fsgs1WbXC2Gb/XyYmxCGG/a1cFm93+musGdctGDwOTzThmt41QCCHaoBUhAmA1XeDydJKrM0my6wy9KwqM9Pk5OtLDaL8fTW3ulMZ6G1ZZB2hO3jQtIgEnJ8cjXJxc3ladi6oqnD0RYzjq58nzs2sjUm9cTzC/bHfY7A21t2Azkytx/tIS40MhRvv8Le1ZIZpHAoUQB8R6ISJXKDX8yb1QrHB1LsmV6eRar4PbRYJujo6EODwUwutu3q+djbfUtg5scZ9lQV/Iw4mxCMbUyraaioHdYfRn3zHB06/NcW3eXm2TyBT5xtPXOKv3cWq8vQWb5YrJ5RurJNIF6VmxR0igEGIf0zSVQrlCNl9mYSXLcrI5IcI0LWaWMlyaTnBjIYO5zgE9LntDrqMjoaZ+wtVUhWB1SiMcdONzaWs1Ec3q8bDXmaZFf9iLacIb15bXnXJaj9ul8a63DXNpOsHzFxeqBZsWL7x+s2CzmYFwO6Rnxd4hgUKIfaZVIQJgOZm3pzRmk+TXKfxTFRitbsg10udv6oZcPo+TWNhLf8SL3+NEVew3TvnUuj7LtBjs9VAxw1y6sbrt66QoCsdHw/SHffzw3AzL1T1TZpaqBZt3DDLa5oLNWs+KQ/1Be/WP9KzoShIohNgHWhkicoUyV2eTXJ5OspJaf0OuaI+Ho8MhJoZCeJq4IdeGUxqWvdRRbM4y7ZqVimlxZXp1R8+HnoCLx94+zstvLvHaVbtgM1+s8J2XptHHwtyrx9pasGmaFlNzSRLSs6JrSaAQYo+6WRNRYXEly3IqTzbfnBCRL5a5Npdmci7F/HJ23QWVXreDI8P2lEY4sNE2PDsnUxrNZZkWYzE/lmlxdTaxo+eHpircq8cY7vPx5Lm5tS3njWurzC9neeTuYSLB5v1/vx3Ss6J7SaAQYg9pZYgolCpcm08zOZtkbjm77jE1VeHQQICjwz0M9fmaug221+2gNxCiP+LF53GgKYpMaTSJZcHYQJBytTPlTg1F/fzswxM8/eoc1xfsgs3VdJG/e3qK+/QY+li4rQWbtZ4VibSfw9KzomtIoBCiy2maQqFktiREFMsVrs/bIxGzS5kNpxEGIl4OD4eYGAzicrZmSmNkIEQhV6hOabBuoadogGVxeDBIxTSZXlh/z5TNeFwaj94zzJvXEzz/+gKVath77uIC00sZ3nHHYFsLNi0LZpYyJLNFjh/afc8K0TwSKIToQpqmUCxbZPJlFlezLCebFyJKZZMbi2kmZ1NML2U2HAGIhT1MDIYYHww2tRXz2pRGn59w4OaUht/rJNuExlZiYwpwdLgHs2IxG8/s/PGKwomxMP299pbotZqa6cUMX3tqkofvtFt6t1M6a/esmBgKMSI9KzpKAoUQXaIWIrKFMosrWeJNDBHlisn0YobJuRQ3FtbvXAkQDXmYGAoyPhgk4G3urp5+r914qj8sUxqdpALHD4WpmBYLK9ldHSMccPNTD43x4zeWuDC5AtgFm99+8QanxiOc1fua2rRsK+WKyaUbq6xWe1aIzpBAIUQH3RIiVrPEE80LERXTZGYpy+RskusL6XV39AS76dTEYJCJoSBBn6vxH1zH5dSIBN0MRv0EfU7cDlWmNLqACpwYi1CpmMSTuxsV0lSV+072M9zn56nzs+QK9jLii1MrzC1neeTuoaYW625HrWcFiorXoSBbS7SXBAoh2qyVIcI0LWbjWSbnklybT2/Yerkn4LJDxGCInkBzQ8RGUxqySqO7OBQ4OdHLhavLrKR2P9U03GcXbP7o/Bw3Fu1plJVUgb/70RT3nYxx4lB7CzZzhTIXp5YJ+5zSs6LNJFAI0QYtDRGWxfxylsnZFNfm0xQ22BQq6HMyMWQXVrZiqZ/f6yQW9hGLePG5NVTW3w5cdA+nqnBqPMKrV+MkM8VdH8fjcvDusyMY11Z50VikYlpUTItnLywwvZTlHXcM4HG17+2mvmfFidEwfo8moaINJFAI0WSKoqCqCqWKSbFcYXYpzbXZJPFErmkhwrIsFlZyTM6lmJpLrdu1EiDgdTJenc7oDbqb/knR7dQIB+1VGgHvrVMaljQI2BPcTpXTh6Ocv7xkTxfskqIonByPMNjr4wevzLCatgPKjYU0X3sqx8N3DjHc196CzdVUnpelZ0XbSKAQogGKYu/WaJoW+ZJJsWySzpZYTefJ5EsUihU8HldTtuW2LIul1TyTcykm51JrTYZu5/M4qtMZQaI9nqaHiNqUxlB1SsNbt2mTTGnsPZYFXqfKHYejnL8Sb3jX2XDQzU8/NM6Lbyzy+tQqALlChX984QanJyLccyKG1sSW7Fu52bMiwOHhEC5NpkBaRQKFEDtQ25uiUKpQrFhk8yVW0wVSmSKFYmXd6YZGtsWyLIt4ssDkbJKpuRSZ/PohwuvWGB+wRyJiYW9L5qxlSmP/sizwuR2cPtzLq1fi5DcIq9ulaSoPnBpgpM/PU+fn1kbQLkxWCzbvGm567c5m7J4VaZLZAicOReiRnhUtIYFCiA2oqgIKlMoWxXKFfKFCIlMgkS6QL1YoFCstWalgWRYrqcLadEYqu/4nRrdTY3wwwMRgiP5eb1O7VtZ43Q4iQQ8DvT78XgcuTbUDhExp7DuWZRH0ODk90ctrV+MUNphG24mRWGCtYHN6yS7YXE4W+MYzU7zrbcNtnwJJZ0ucu7zExKD0rGgFCRRCcLPuoVwxKZRNiqUKyUyR1VSBXLFMvlhu+XD+arrA5KwdIhIbFMi5nCpjA/Z0xmCvr6m7edZ4XBo9AXupp9/jxONU10YhZDRif7Msi7DfxanxKBcmlyiWGt99y+t28J57R3h9yi7YNC2LUtnk2y/e4KEzgxwb7WnCmW9fuXxrzwpf3ZSdaIwECnHg3Kx7gEK5slb3kEgXSOdK5IvlDZdbNlsyU7RrImaTa0Vst3M6VA71B5gYCjIU9bdk/tnl1Ojx2xtyBb1OPG4Ny7SXesov24PFNC0iASf6WC+vTy035bWgKAqnJiIM9Hr5zovTZAtlLAt+9Ooc6VyJu49F27q0FG72rDg2GqYv5JGeFU0ggULse2t1D2WTUtms1j0USWWL5ItliqVKW4u00tkSk3NJJudSLCfX3w7coSmM9geYGAwy0udHa8E20U6HSsjvZrDXR8jvsrcdr/aLMKW48kCzLOjr8XBiLIIxtUK50pyA3Rvy8FMPjfHtF6fX2nafuxwnnSvx0B2DbS3WBLtnxYWrcUb7g9KzogkkUIh9RVUVFAWKZZNS2SJXLJPMFEmk7amLQrHSkU/cmXyJqbkUk7MplhLrr/jQVIXRmN/ekyDmx9GCEOHQVIJ+FwO9PsJ+N163ZtdDWJYUqYlbWKZFf9iLacIb15Y3bNe+Uz6Pk/c/eIgfvDzDzJLd+vvKTJJsvsyj9ww3dfO57ahUe1YkM0WOj4YJeB0yKrdLEijEnnV73UOpbFbrHvJkC3Z4aNYnq52yLIvVdIGZpSwzS9kNN2JSFYWRmJ+JwSCj/QGcjuaHCE1V8PvsENEbcONza1BdoSEhQmzGMi0Gez1UzDCXbqw27Y3W5dB4z9lRnr0wz5s3EgDMLWd54tlrvPfe0abvI7MdK3U9KwZ7PVid+dWxp0mgEHuCotgBwgIKJbthVCZXIpEuksrZSzaLG3SIbJdcocxsPLMWIGp7G9xOUWA46mdiKMih/kBLPpGpqoLf66Q/7CMa8uD1aGubcdlDuhIkxPZYJoz0+amYFlemV5s2JaCqCm8/M0DA6+THby4BkEgXeeKZKd59dpS+nkYWXO9OrWdFMh1gQnpW7JgECtG1aqMP+ZJJrlAmkS6QyBQplCoUiuWOv9ArFZP5ldxaiKjNCa9HAQajPiYGgxwaCNr1Ck2mKNUdPXt8xMIevG4HjmrTLdmMSzTCMi3GYn5M02JyNtG0156iKNx5NIrf6+RH5+cwLYtcocI3n7vGT9w9zGh/oDk/aAcsC6aX0iSkZ8WOSaAQXUVVFSqmRbZYIb6aY2E1Ry5fatr8bSMsyyKRLjJTDRDzy9lNz8vlVBmO+jk80kNfyI3X3fyXm6LYc9K9IQ/9ER8+jwNnLUQgKzRE81gWjA8EqZgW1+aSTT32keEQfo+D7/54mmLJpFyx+O5L09x/up+TY5Gm/qztkp4VOyeBQnScvVzMIlOosJIqML+cIZPrjhCRL5aZXcquhYiN2l2D/ebeH/Yy3OdnqM9Pb8iNqigEA56mtN6u5/U46K02nPK5Hbid6lqfDAkRomUsi8ODQSqmyfRCuqmHHuj18diD9gqQdK6EBTx3YYF0tsS9eqzty0pBelbslAQK0RGKYv9PrlhhNV1gfjlLKlPsWBFlTcU0WVzJM7OUYSae2XBZZ03I72I46mO4z89Ar68lRZU1HreDcMDNQK9vbSMu2UNDtJsCHBvuoVKxmNug2Hi3egJuHnv7GN99aXptNdSFyRUyuRIP3zXUkpVP21HrWXH8UJhoUHpWbEQChWgbRQFFVcgVKqSyRebiWRKZQtuaSK3HsiwSmeLaKMT8cpbyJm/OLofKUNTHUJ+f4eoOm63kdmn0+N0MRu0Q4XFqMp0hOk4Bjo/2YJoWCyvZph7b63bwvgcO8cNXZrleHQWZmk+Tff467z470tZt0OvlCmVeu3KzZ4XWgRGTbieBQrScqirkSybpXJH55Syr6UJT9gnYrXyxzGw8uxYishtsuAV2CIqFvQxXQ0S0x9OSPTPquZwqIZ8dIoI+F16XZi/xlK6VootoisKJsQiVikk82dwpPYem8q57hnnx9UUuTq0AsLia54ln7GWlIX/7Nhard0vPikNhAh7pWVFPAoVoCU1TKZQrZPJl5uNZVlL5TesPWqliWiyu5phdsusgtvrlF/Q57TqIqI/BXl9bGu04HCqhaq+InuqW4EiIEF3OocDJ8V5em1xmNdXcUKEqCvef6ifgdfL86wsApLIlnnjmGu8+O0x/xNfUn7cTK6k8r7y5yNHRMANhT8dXnHULCRSiaWrLPDOY0uIcAAAgAElEQVSFCgsrWeKJPLlCqe0vNsuySGZKzMQzzC5lmNtiGsNZncYYjvoZ6rNHBdpB0xSCXhf9vT4iQTdelwMF6Vop9hanpnB6PMKrV+MkN9jUrhGnJiL4vQ5++MosFdOiUKrwzedv8M67hpgYDDb9521XoVTh4mScRCzA4cEQTulZsbtAoeu6BjwK/Dzwc0AS+ArwVcMwXmja2Yk9wQKyhTJLq3kWE1kyufaHiEKxwuxylpklO0RkNpvGAPrCHoaifkZq0xht2kNAVRUCXif9ER+9IQ8+t4aq1HpFyIbgYm9yO1VOH45y/vISmVyp6ccfGwjy/gccfOelafLV9vk/eHmGtB7jzESkIytAoNqzYiFNKlPkxKEIIZ/zQI8oKtutVtV1PQg8hh0iHgN6sN9LngFCwB3Vv88Cf1v9813DMJr/7Gq9CeBqPJ4+0E+Ojawt8yxWKJRMrk6vks6V2nqtTNNiMZGz6yCWMsQT+U3fjANeJ8N9Poai9lRGO/cLCAU9mBWTWNhLX48Hn9uBVtcrQthisSCLi6lOn0bX69brpCiQKVR49crSpnVJjUhli3z7xelbRkJOHArzwKn+Wz4UtGKp9lacDpUjI2GGen3shaEKVVWIRgMAh4HJZhxzy0Ch6/pHsUPEo4ALyAHfwg4MXzcMY7H6fYeBD1a/92FABdLAE8B/Ngzjb5txwm0ygQSKW6wt8yzULfPMFvF6XW154VqWRSpbm8bIMhfPUtpkialTUxmM+hjqs6cygj5nWz/F3Oxa6WVsOAzlMg5NlefTJrr1jbLbdPN1UhSFVL7Eq1fi5FtUM1UoVvjej6eZX8mt3TYS8/MTdw+vLdvuRKAA+3U/0OvnyHAPbofa1ctLOxUoTGAR+Dp2iPiWYRi5LR7TC/wMdrh4H/CmYRhnm3HCbTKBBIq1/TNyxQrJbJH5dZZ5tvKFWyxV7NUY1aZS6U2GUhUg2uOpNpXyEevxtm0aY+0cqiGiN+QlFvbic2s4NZVoNNC1bwDdpJvfKLtJt18nVVVYzRR57Wq8Zau5KqbJU+fnmJy9eR16Q27ec3YUn8fRsUBR4/c6OXEoQjjQvW27WxEotlND8QjwI8Mwtn1VDMNYBv4K+Ctd193A3bs8P9EBqqpQKJmkctVeEekChTZsvGXv0FlkejHN9GKGhdXcpiOHfo+DoT67DmKw14e7BftjbKXW+jra4yEWtltfuzRFulaKA8s0LcJ+F6fGo1yYXKJYan6fGU1VeeSuIYJeJ+evLAOwnCzwxDNTvPfeUYKB9m8sVi+TK3H+8hLjQyFGD1Db7m3XUBwwExywEQpNUymUqss8l7e/zLPRTwKlssnccnYtRGxWTOnQFAZ7q02lon5C/vZOY9S8JUS4HbgcyobdKrv9E2W3kOu0PXvlOikKLCULvD613NLmdW9cX+XZC/NrHz6cDpXHHpog7G//Fujr6Qt7OT4axuPUumoKpFMjFOi6/r8C/80wjNeb8UNFd1BVhbJpkcmXWVi2+zNk862voU1mikwvZrixmGZ+ObfpLpi9ITcj1b0xYmEvWpunMWresgnXbSFCWl8LcSvLgr4eDyfGIrw+tdyy18iJQ2H8Hifff3macsWiVDb5+pNXeOiOQY6O9LTkZ+7E0mqOTL7E8dEw0ZAbq7O7C7TUdpeNfhbQgM/UbtB13btVLYXoPmu7ebZxmWfFNJlfzq2FiFR249DidKgMR32MxAIM9/nxeTrXKmUtRAQ9xCI+fG7tlk24JEQIsTnLtOjv8WIeivDGtZWWbfg3EvPzgQfH+M6L02QLZUwLnjo/RzpX4q6j0Y4tK63J5e223WODIUZjAbR9OgfSyG/r39Z1/TcNw+i//Q5d14eAlGEYO9qOTtd1Ffgk8BFgHJgDvgR81jCMTcfVdV3/EPDnG9z9O4Zh/NudnMt+oqoKlmUv81xO5FlYybZ8mWc6V2JmMcONpQxz8cymjaXCARcjsQAjMT/94fYXU9ZTFPC6nfSG3GsjEW6nRqW6okRChBA7Y1kWg71eKqbFpeurm45INqI35OGxh+xQsZKyN/V75VKcdLbE2+8Y7NjoZk3FtLg6kyBR3bl0P7btbvTjX3SD2z8MfBrY6STWF4DfAh4HPg/cA3wKOIO9JHU7/gC4eNttP97heexpimKHCNNkbTfPuXiGVK7YsjdEs9re+sZihunFNKvpjTvm1WohaiGi1RtsbYfP4yQStHfy9HkcuB31IWIfj1EK0QaWCSN9fiqmxZXp1ZaNiPo9Tt7/4CGeOj/H9Xn78+zlmSSZfJlH7xlua/+ZjSwn85y7tMjR0Qj9YU/XrgLZjVaOJ+9on1ld188AHwO+aBjGh+tunwM+o+v6Y4ZhPLGNQ33LMIzv7ehM97jaJ/pC2aRUNsnmS6ymi6SyRbL5UssKonKFMjeWlrl8Y5WZpcymPyfoczIS8zPSF2Cw14vWoW2I6/k8DiJBjx0i3jISISFCiGayTIuxmB/TtJicTbQsVLgcGj/98BH+8bkpLt1IADC3nOXvn73Ge+4d7YoPMPmi3bY7GQswMRjCoe6JXlhb6qa9PH4Ju53AF267/Y+A3wN+GbtJ1paqXT3ze7RL56ZUVUFRoFg2KZZN8sUKyXSBRKZIrlCmUKq0bBjNtCziiTzTixmmFzObbrKlKgoDvV5Gq6MQndod8Hbe20OE42azKQkRQrSWZcH4QJCKaXFtLtmyn6OpCg+dGSDgdfLym0sArKaLPPHMFO85O0q0p7PLSsEe1b0+nyKVKXLsUJiQ14G5x38FdVOguB9IGIZxy3SFYRiruq5fBO7b5nG+CgQBS9f1l7DrL/ZSl841iqKgqgqlih0eiqUKyUyR1VSBXLFMoVih3OI3wUKxwkw8sxYiNutH4fM4GI35GYkFGOz1rXWt6zSvx0Ek4KmbzrgZIvbbHKYQXc+yODwUxLLsN9RWURSFu45GCXid/Oj8LKYFuUKFf3juGj9x9zCj/YGW/eydWE0XOHdpiaMjYQYiHvbyhj47CRSt/mcOA9Mb3HcDeOcWj89i1158G7uz5zHg48BXdF3/iGEY/3GnJ1Rdo9tWpXKFbL5MvlghnS2ymi6QzZUoVqczalRNw+tt/nygZVksJfJMzSa5NpdkLp7d8P94RYGhqJ/xwRDjQ0F6Q56OV1PXeFwaPQE3/b0+evwu/N7O9KyoicU6tyviXiLXaXv2w3XqCfnweV3MLGVacvxac6u7T3joi/h44keTFEoVyhWL7740zU/cM8IdR/ta8rN3YzqeoWRZHBvpIeh3d/p0dmUngeLTuq7/PPB89c9Yk8/FByQ2uC9fvX9DhmH8DfA39bfpuv6fgPPAH+q6/vhOV520srGVqiqgQKFoUqyYZPIlEukCqUyRQqlCsVRp25xaqWwyG89UCyozmza08rg0uxYiFmA46iMa8a81tkpnCu054Q143Q7C1RAR8DrXRiJymQK5Dp7bXmlE1GlynbZnP12nwbCHbLbI9YXm/ntub7gX8jp4/4OH+M6L06RzJSzg+z+eZmk1y9kTsa75IJRM5ZlbTHHiUIQef2vbdtc1tmqa7QaKfwTO1v2pL5r8AfAy8Er1z/ldnksW2CiWear374hhGEld1/8Y+BzwDuCbuzy3htTCQ7FkjzLkimWS6SKJTIF8sUKhWGnZUqr1WJZFMlNcCxALK1k2e9729XjWQkQ05O6aFx+ApxoiBnp9+D1OPE6ZzhBir1CAI8MhLOBGk0PF7cIBN4+93V5WWqv/eu3qCulcmXfeOdgVheIA6azdtvvwcA9DUR/KHvo1tq1AYRjG+2BtR9H76v6cxZ6KeCc3p0QqwG7GsGaABze4b5SNp0O2Mln92paxrbW6h7JJsVKhUDTtuod0wS6aLJZb1txlM+VKrcW1HSI222jL5VQZjvoZ7fcz3OfH4+qmUptqiPC7GYj6CHicuJ32rn6WJSFCiL1GAY4Oh7CwmF7Y0SDyjnndDt73wCGePDfL9erPmppLkc2XePfZka75XVcqm7x5fYVEusDR4R7cXda2eyM7unqGYVwFrgL/pXabruvHuTVk3AP0sPOai+eB9+m6fqq+MFPX9TBwCvjyDo9Xc6z6dX6Xj9+Q3e9BpWyaFEt24WSt7iGTL1EoVlraw34rqazd4np6KcNcPLtpkIkE3dWCSj99Hdipcyset4Mev4uB6nSGx6VhmRIihNgP7FDRAxZML7Y2VDgdKu+6Z5gXXl/g9alVABZX8zzxzDXee+9o16xIsyyYX86SypY4MRahN+Dq+t91DccxwzDeBN4E/jOArusKcJLtr8qo+TLwu8AnsDtl1nysep6P127Qdf0kUDIM43LdbVHDMOL1B9R1fQC7UdYy8PQOz+cWta28LaBQMimV7Y20EukCqWyRfNGue+i0RLrA1FyKybnUls2lhqs7dY7E/Pg8nV+bXc/hUPG4NIJeF7GI960hQjpWCrGvqGDvvWHB9FJrQ4WqKDxwyl5W+sLriwCksiWeeOYa7z47Qn/E29KfvxPZfIlXLy8xNhBktD+wswZPbbZloNB1PWQYxrYXDFe3Ob9IXbfK7RzDMIzzuq7/CfCbuq77ge9ij3Z8FPi6YRjfqPv2i8AU9q6gNed0Xf8+dg3HEnAU+HUgAvyKYRg7rsFQVcVerlkxyVXDQ6JaNFkolrumEclqNURMbREievyuai2En/6Ir+OtaOu5XRoel10PEQ648bgduJ0qTk3FNE0JEUIcACpwbLQHC6tlqz/qnZ7oxe9x8uS5WSqmRaFU4ZvPX+eRu4YYH+yelTTlismVmQTJTJFjo2F8bq0rRyu2M0KxpOv6d4G/Bb5mGMb17Ry42vny56t/NLY3YvFx7KDwYeAXsacpPkfdpmSb+DLwKPAB7D4UK8CTwOcNw/jRds75dm/cSLC0mqVQrHSk7mEzq6kCk3MppuZTJDYIEaqqMBT1rY1CBH3dMZSnqgoelwOf224yFQq4cDlU3E4NVbl1CkOaTQlxsCjAsdEwFjDbhlAxPhjE53Hw3ZemyRftxoDff3mGe/UYpyciXVWEvpSwdy49NhqmL+TpuroKZasT0nX9z4CfAfqx6yJeBr4CfNUwjFfqvk8BHuFmiDiM/dy4DPyZYRifa8U/oEUmgKvfeW6KeKJ7NlRdCxFzKRKZ9UOEpiqMxPyMDwYZjQVa3lzq9uVZ63E6VDwuB0Gfi3DQTcDrxOVQcTlVOAA1EPtpmV8ryXXanoNynSoWvHljlbn4zkPFdn4v3S6VLfLtF26QrNsNWR8Lc//J/q6rKdNUhdH+IOODwV1PgdQtGz3MzcULDdkyUMBaWHgIe4OunwNOYIeLa8DXgBDw00Bv9SEvYo9ofMUwjNeacaJtNkEXBArLslhNF9emM7olRNS7/YWrKOBy2tMXkaCbnoAbr8uB67bpi4PkoLwBNEqu0/YcpOtkAm9c33mo2E2gAHuPje/9eJqFlZu/90djfh65e7hrOv/WiwQ9HD+0u51LOxYoblctivwn2OHiAaAMfI+bIxe7XeLZLSboUKDYSYgYrYaIkTaHiHo9IS+lYtmevgh5CPlduJ329IXC/h992I6D9AbQCLlO23PQrpMJvHFtlbnl7YeK3QYKsKdZnzo/x+TczWscDbl5z72jeN3dsay0ntulcXQ0TH+Pd0c7jLUiUOzq6hiG8Trwb4B/U11JkdtJ4aa4lR0iCkzOpZmaS5HcIEQ4NIWRWMAOEX3+joQIp0PF47anLyJBN/3RAKVC6S3TF5Zp7eWW9EKILqECxw/ZhZrzyzuurd8xTVN55O4hAl4nr15dBiCeLPCNp6d4772jhIPd1Ra7UKzw+tXl6s6lQZya0rFR4GYsG216f4eDwLIsVlI3V2fUz9vVq4WIicEgw20OEYoCbpcDr0ujJ+AhHHThcWm4HRqO6vRFX9jL4mJZVmAIIVpGUxROHApjWbCw0vpQoSgKZ/UYAZ+TZy/MY1mQyZd54tlrvPueEQajm+4E0XamZXFjIUUyU+DEoQghn7Mjo8PdN36zj9WHiMm5FKlNQsRobSQi5sfRppawmqrgcdurL3pDHoJ+Fy5Nxe166/SFrL4QQrSTpijoYxGgPaEC4MShMH6Pg++/PEO5YlEqm/zjC9d56I5Bu2dGl0lmirxyaZEjI2GGen07mgJpBgkULWZZFst1IxHdFCJq0xeh6vSFz+PE7dRwOZRbOlDK9IUQohtoCuhjESwLFlfbEypGYgE+8OAY335xmlyhjGnBU+fnWE0XuetotOuKNUtlkzeuLa+17a79Pm8HCRQtYFkWy8lqiJjfIkT035zOaGWIqJ++CAc9hANuu5mUQ0PTlFtWX1Rk+kII0aU0BfTxCBYWS6vtKZrvDXn4qbeP8e0Xb6w1D3zt6jJXZhLcfayPYyM9XbW01LJgLp4hlS1yYixCuMU7l9ZIoGiSWoio9YnYaPMth6ZwqN8eiWh1iPCuFU96CPqduBwabqd62/SFJQFCCLGnOBQ4ORbhdctu9tQOfq+TDzw4xvdfnmE2bo+O5AoVnnltnotTK9x7IsZIzN9VjbAyOXvn0onBECN9flp9ZhIoGmBZFvHkzemMjUKEU1MZ7fevrc5o9Ta5QZ/L3mq8x1Pdzpu1jmoyfSGE2A8cqsLJ8QivT7UvVLicGu+9b5Qr00l+/OYSuUIZgES6yHdemmag18u9ej99PZ62nM92lMsml26skkwXOXqoB4+jdTuXSqDYITtE5KshIr1xiHCoN0cior6WhwhVUegJujnUH6DH78apKZimjD4IIfavWqi4OGn/Xm4HVVE4NtrDxFCQC5MrvHZlmVK1SH1+Occ3np5iYijI2eP2KpFusbCaJZ0vcvxQhN5ga7ZhkECxDZZlEU/kmZxLcW1+myGiz4emtr5Yx6Gp9IY8jPYHCfmcKMiW3kKIg8OhKpyc6OX1yeW2hQqwf/fedTTK8dEezl2O88b11bU6tMnZFNfm0pwcD3PnkShul9a289pMNl/m1ctLjA+GGGvB5mcSKDaxtJrjRWOBqbkUmXx53e+phYiJwSBDbQoRYA+99Ue8DEcD+L0Ou+DGkukMIcTB46yGiguTy6y0MVSAXav24OkBTo1HeOmNRa7N21uvm5bFhckVLk0nuPNIlJPj4ba9P2ymYlpcmUlQKpvE7E6ZTSOBYhP/8Ny1W3q61zgdKmPVkYh2hggAr8fBUNTPQMSH12VvYduO6l0hhOhmTlXh9LgdKsod+JUY8rt49J4RFlayvGgssrhqB5tiyeRFYxHj2ipvO97H4aFgVxRu5orrf0huhASKbXI5VA4NVENE1I/W5iVCQZ+L0f4AvUEPbqeKaVoyrSGEEHWcmsLpiV6uLqR3vZdHo/ojPj7w4BjX5tO89MbiWtuAdK7Ek+dmuTi5zL16f9d122wGCRSbcDk1jo6EmBgMMtiBEKGqCj0Bu9AyHHDjUBUJEkIIsQmnpnDHkSjZTIHVdKEj56Aoir37c3+AN66vcu5SnEKpAtj7gnzz+euMxvyc1WOEA921N0gjJFBs4hfedYTVVPufkPWFlkGfAxWk0FIIIbapJ+Dm9OEoF67GOxYqwN7O4NR4hKPDIV69uszFyRUq1d/jNxYzTC9mODbaw93H+vB59v7b8d7/F7RQuwto3E6NWMTLcF8Av6dWaIkUWgohxA65qtMfr03abag7ei5OjbMnYuiHwrz85hKXZ+zNuS3gzRsJrs4mOT3Ry5nDvV3XynsnJFB0AZ/HwaAUWgohRFO5nSpnuiRUgN1t8+G7hjg1EeFFY3Gt42a5Yq0tPX3bsT6OjXZXK+/tkkDRQVJoKYQQrWNZdqg4fbiX167ESWaKnT4lwN4b5CfvP8TMUoYXjUVWqlPr+WKFZy7YrbzP6jFGu6yV91YkULSZqiqEA25GpdBSCCFazrLA41A5czhqh4psd4QKgOE+P4NRH1dn7Fbe2Wq/o0SmyHdfmmYg4uXekzH6erwdPtPtkUDRJlJoKYQQnWFZ4HGqnD5ih4pUF4UKVVE4OtLD+GCQi5MrvFrfynslxzeevsbEYJB7TvQR9LWmZXazSKBoMSm0FEKIzrMs8DrtkYpXry6Rzq6/hUKnODSVO49GOX6oh3OX4hj1rbznUlybT6GPRbjzaBRPl7Tyvp0EihapL7T0uDR7l08ZjRBCiI6xLPC6VO440serV7ovVAB4XA4eOD3Aybe08oaLU9VW3kejnBoLt3zTyZ2SQNFka4WWIQ9uhyorNoQQoovcMlJxJU5mg80eO63WyntxJccLxsJaK+9S2eQlYxFjaoV7TsS6ppU3QHfFmz1KVRV6Qx7uOtbHPSdiDPX6cFaLLYUQQnQXywKfS+OOI1H83u7ZYnw9sYiXDzw4xrveNkywbjv0TL7Mk+dm+bunp5iNZzp4hjfJCEUDHJpKtMcutAx4pdBSCCH2ilqoOHM4ymtXu3ekAm628j5Ua+V9OU6+aLfyXk4W+NbzNxjps1t5R4Kda+UtgWIXbim0dDuwLCm0FEKIvcaywO/W1qY/svnuDRVgj4afHI9wZCTEa1eWuVDXynt6KcPMUoajoz28rUOtvCVQ7IBdaBmgP+LFWyu0tCRGCCHEXmWHCgd3HNkboQLA5dC450SME2PVVt7TN1t5X7qRYLJDrbwlUGxBUSDgczEak0JLIYTYjyzLwu92cOZIlNeu3Gww1e38HicP3znE6YkILxpLzCzZtRT1rbzvPhbl+Gi4La28JVBsIuh3MhLzS0dLIYTY5yzLIuB2cMfhPs5fXSK3R0IFQCTo4X+4b3TdVt7PXljg4tQqZ0/0cag/0NIVIbLKYxOHh0JEg25UpNBSCCH2O8uy8HvsUOF1773P28N9fn7mHeM8fOfgLTUUyUyR7/14hn947jqLq7mW/XwJFJtQLJASCSGEODgsyyLgsac/9mKoUKqtvD/4yGHOnui7pYZiYSXHE89c4/svz7Sk/bgECiGEEKKOZVkEPU7OHI7i2YOhAuy2BnccifJPfuIwp8Yj1JdQTM2l+NqTk03/mRIohBBCiNtYlkXQ6+SOPRwqwG7lff+pfn7+kcOMDwbXbjdbMPwugUIIIYRYh2VZhHxOzhzu3dOhAuxtId71tmEee/sY/ZHWbIe+t6+QEEII0UKmadHjc3F6opcLV292qNyrYmEv73/gED2B5nfUlBEKIYQQYhOmaRH2uzh9OIq7S7cO3wlFUXA5m//vkEAhhBBCbGG/hYpWkEAhhBBCbINpWkT8Lk5P7M0lpa3WVVdE13UV+CTwEWAcmAO+BHzWMIz8Do/168AXq38NGoaRbua5CiGEOHhM0yIScPG24zGSmSKz8QzJTJFyxez0qXVcVwUK4AvAbwGPA58H7gE+BZwBPrjdg+i6HgM+B2QAf/NPUwghxEFlmhZuh0p/2Et/2Eu2WCaeyDO/kiWTLbVkSeZe0DWBQtf1M8DHgC8ahvHhutvngM/ouv6YYRhPbPNw/w64AZwDfrXpJyuEEOLAq+027XVqjPUHGO7zk8mXWVjJEk/k98TOpc3UTTUUvwQo2KMU9f4IKAO/vJ2D6Lr+XuBXgH8B7O31PUIIIfYE07RQgaDHwYnRMPeciHH38RgDvT7cLVhR0Y26KVDcDyQMw7hYf6NhGKvAReC+rQ6g67ob+BPgLw3DeKolZymEEEJsolIxcaoKvQEXZw73clbv5/ThKL0hDw6tm952m6trpjyAYWB6g/tuAO/cxjF+F4gBv92ME4pGA804zL4XiwW3/qYDTq7R9sh12h65Tlvrtms0CugTvSTSRZYSORZWcmTzpY5tQOn1upp+zG4KFD4gscF9+er9G9J1Xccu4PyEYRiLzTiheDwt25ZvIRYLsriY6vRpdDW5Rtsj12l75DptrduvUV/ARdjn7Gi9hduhbP1NO9RNgSILbNQL1FO9fzP/ATgP/GkzT0oIIYRopvp6i/BomPxAhXSuxFw8w2qqQKG0N8v/uilQzAAPbnDfKBtPh6Dr+i8A78Yu3DxiD1YAUBvzOqLresIwjKkmnasQQgjRsPp6i2jITa5QIZEpMrcH+1t0U6B4Hnifruun6gszdV0PA6eAL2/y2LHq18c3uP8VYAqYaMJ5CiGEEE1lWWBV7P4WA2EvA2EvmWKZ5T3U36KbAsWXsYsqP4HdKbPmY9jnuRYWdF0/CZQMw7hcvenr2IWbt/tN4FHg14B4809ZCCGEaK5afwufUyOwh/pbdE2gMAzjvK7rfwL8pq7rfuC72J0yPwp83TCMb9R9+0XqRhwMw7gEXLr9mLqu/0z1P78irbeFEELsNXup3qJrAkXVx7GDwoeBXwTmsVtof6aTJyWEEEJ02i31FkE3uWKFRKbAXDzbFfUWXRUoDMOoAH9Y/bPZ921rvYthGB8CPtTwiQkhhBBdwrLsaRG73sLHQNjXFfUWXRUohBBCCLF93VRvIYFCCCGE2Ac6XW8hgUIIIYTYZ7aqt2gFCRRCCCHEPrVRvUU21/ypEAkUQgghxAFQX28R8jqbfvz9u4+qEEIIIdbVio0vJVAIIYQQomESKIQQQgjRMAkUQgghhGiYFGWuTwNQ1W015Dzw5DptTa7R9sh12h65TluTa7S5uuujNeuYitXl26F2yDuBH3b6JIQQQogWewR4shkHkkCxPjdwPzALdM9WbkIIIURzaMAQ8DxQaMYBJVAIIYQQomFSlCmEEEKIhkmgEEIIIUTDJFAIIYQQomESKIQQQgjRMAkUQgghhGiYBAohhBBCNEwChRBCCCEaJoFCCCGEEA2TQCGEEEKIhh2ozcF0XVeBTwIfAcaBOeBLwGcNw8jv8Fi/Dnyx+tegYRjpZp5rpzRyjXRd/xDw5xvc/TuGYfzbJp5qRzXjuaTr+t3Ap4F3AaHqMZ4G/plhGMVWnHc7Nfhc+h72ddnIpw3D+P0mnWpHNfpc0nX9FPB7wDuA/urjvwf8vmEYl1p02m3VhGv0dkoTp/YAAAoHSURBVOB/Ax4CXMBrwB8ahvE3LTvpDtB1PQD8z8B9wL3YrbX/m2EY/3QHxwgDvw/8AhABDOALhmH8xVaPPVCBAvgC8FvA48DngXuATwFngA9u9yC6rseAzwEZwN/80+yoZlyjPwAu3nbbj5t1gl2ioeuk6/rPAf8VeKH6+BVgGHujHgew5wMFjV2j3wf+bJ3b/xfgLuDvmneaHbfr66Tr+mnsvRhWgD8FZoCT2G+8H9R1/U7DMG607tTbppFr9F7gCSAO/B/Y1+qDwJd1XY8YhvGnLTzvdusD/hX2PlQvAD+7kwfruu4CvgXcAfxfwGXsYPHnuq6HDcP495s9/sAECl3XzwAfA75oGMaH626fAz6j6/pjhmE8sc3D/TvgBnAO+NWmn2yHNPEafcswjO+16DQ7rtHrpOv6IPBX1T+/YRjGvttQp9FrZBjGt9Y5Zg/wH4FXDMN4uQWn3XZNeM19BPABDxmGca7u8S9jf4L/p8CmbwLdrgnX6AtAGfsaTVZv+2Nd178O/KGu639jGMZKi06/3WaBUcMwpgF0Xd/p75Zfxx7d+BXDMB6vHuPPsEPGv9Z1/UuGYSxt9OCDVEPxS4CC/eSq90fYT7Zf3s5Bqmn3V4B/wf7bibQp1whA1/WgruvOJp5bN2n0On0U+03gtw3DsHRd9+u6vt/CfdOeS3X+R8DLxtNqe1Gj16mn+nX2tttrf882dHbdYdfXSNf1XuBO4Ad1YaLmL4EgOxid7naGYRRqYWKXfhl7Oun/rTumhR1K/cDPb/bggxQo7gcShmHcMhRvGMYq9vD8fVsdQNd1N/AnwF8ahvFUS86ysxq+RlVfBZJAQdf1F3Rd3/RJuAc1ep0+ALwOPKrr+iUgDWR1Xf+GruvHW3HCHdCs51K9fw6UgL9u/PS6RqPXqTaS85e6rt+v6/qIruvvwX4DeIO6N4Y9rJFr5Kp+XS9Y1W67v+Ez3AeqdSpngWcNwzBvu/tH1a+bPh8PUqAYBjZKbjeAkW0c43eBGPDbzTqpLtPoNcpiz3F+Avg57OKgPuAruq5/eLMH7jGNXqcT1e/5MvA17DnK3wfeAzxZnRLZ65rxeluj67oOvB342mZDrntQo9fpceB/x669ea76mG8Di9hD/MkmnWcnNXKN5rFrJx7Udd17233vrn4dbez09o0I9gjgW661YRjLQI4tno/7bZh1Mz4gscF9+er9G6r+QvsU8AnDMBabfG7doqFrVK2YvqVqWtf1/wScx56rfHyfrIZp6DphD7Nq2FX4n67e9t91XZ/CHs7/JPAvm3GiHdToNbrdh6pf99N0BzT+mrN0XZ8GXgb+P+wiuruwi1e/quv6B/bBa27X16h6ff498Fngb3Rd/1fcLMr8n+qOL25eh8IG92/5fDxIIxRZwL3BfR62nmv8D9hvjPupIvh2jV6jt6h+Qvpj7GWR79j9qXWVRq9Trvr1L267/a+x63Ie3e2JdZGmPZeqQ7G/hj23+/eNn1pXaeg66br+Sexp2I8YhvEFwzC+ahjGvwZ+EXgYe7Rwr2v0ufQH2KvyfhJ75cNl7NHm36jevx9GcZqhdh13fa0PUqCYYePhmlE2HlJD1/VfwB4e+z+BI7quH9N1/Rj2J02qt40382Q7ZNfXaAuT1a99u3x8t2n0OtXun6u/0TCMErCEPfS41zXzufST1WN9yTCMcqMn1mUavU6fAC4ahnGh/kbDML4JpNi8l8de0dA1MgzDNAzjU9jT1e8AHqwer7aU3WjSee51K2wwrVEtbl13OqTeQQoUzwM91SYwa6pNPE4BL27y2LHq18eBN+v+/EL19leA7zf1bDujkWu0mWPVr/MNnFs3afQ6PVf9esvcbbXoNwYsNOk8O6mZz6V/Xv2636Y7oPHrNIg9fXYLXdeV6u37YVq7Kc8lwzBShmE8bRjGc4ZhFLCLo2H/jXrtSrUQ8yXggeqoYL2Hql83vdYHKVB8GbB46xDgx7BfdI/XbtB1/aSu60frvufr/P/t3UtoHVUcx/Fv3Cj4Sq1QN4L10X+gICgi6s7HQkRQKD4WLdQKEVEUMaCgULQ7l4q6ELtV0UUQcVHFR9QI0ioqKEfF1o0PMFYotuDCuPjPhZB3eu6dm0y+HwiTZObenBzmkl/m/s9/8hLi/I+Pmv17yKWAG13NHBERW+c/YURsIxvS/EV2geyCqnki+wPAwnNmnHxNrrYfynpWO0e9faPkUrUv5v8X3hG18/QdMBYR1877/i7y/e7D/R3uUPTlXJorIi4m65SmSyld+GdwzZaYq9fI7pr3zDluhKzrOglMLvecXUivq1JK+TYiXgIeioizgQ/JbmsPAu+UUt6dc/j3wC/AJc1jfwIWtLCNiNubTyc7UPhUNUeNbyLiY7LW5E/gMrJRyhayUUoX1sRXz1Mp5VBEvAk8EhEXAp+Qa+UfIJeTPt/KLzJAfTiXeu4l37vt4tWJfszTM2Qx5vvN8/xMnkvj5JWuDd3UCurnKCJuI1ecvUfOyeXk/JyiQ40JeyLiYWB0zrfGIqJX/D1VSplqPl/sfHoF2AccjIgryXqTXcDNwMRKK6w2TaBoPEpO4Dh5heEPsljn2WEOap2pmaM3yILCW8n6kuPAp8BzpZTpZR63EdWeS7vJTqt7m8fPkC/mp0spJ/o92CHpx+ttL1ld3oV+Cks57XkqpUxGxA3AU2TDvW1kmH8d2F/Z5Gg9qTmXjpENsB4j/9D+Rl7VONDRFXsT5P1OenaSq1wgA+jUgkc0Sin/RsQtZCHrfeR8/QjcX0o5uNIPHpmd7VzXX0mS1LLNVEMhSZIGxEAhSZKqGSgkSVI1A4UkSapmoJAkSdUMFJIkqZqBQpIkVTNQSJKkaputU6akdSIiDpF3Eu2ZBf4h78J6hLyvwNulFLvvSRuAnTIlDUVEzJD3eTlAhokR4DxgDLgROBP4ALizQ+3Ipc7yCoWk1kXEpcAFQCml7F9k/0XkFYqbgFeBu9sdoaS1soZC0jBc02yPLLazlPI7GSJOAndFxPa2Bibp9BgoJA1DL1AcXuqA5k6QnzdfXjfwEUmqYqCQNAzLXqGYY6bZjg5wLJL6wEAhqVURMQJcTRZifrXC4ec325llj5I0dAYKSW27ggwKP6xi9caOZlsGOyRJtQwUktq2Yv0EQETsALYDv5ZSvh74qCRVMVBIattq6yeeaLYvDnAskvrEQCGpbSsGiojYDewDjgEvtDAmSZVsbCWpNRFxBnAV8B/w5SL7twJPAo8Dx4E77JIpbQwGCkltGgPOAU4AExEBeaV0C7ATuB44C/gM2FNKOTqkcUpaIwOFpDb13u44F+i13D4F/A0cBV4G3iqlTA9hbJIqeHMwSZJUzaJMSZJUzUAhSZKqGSgkSVI1A4UkSapmoJAkSdUMFJIkqZqBQpIkVTNQSJKkagYKSZJU7X80pwlcvZTIZAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 540x432 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "44CjbrQ4aiDy"
      },
      "source": [
        "We see that the gradient is positive and constant for $D < 0.8$ corresponding to the linear increase in the average energy. Moreover, we see that the derivative crosses zero exactly at the maximum average energy. Finally, we observe that the gradient goes back to zero at $D = 1$. This suggests that $D = 0.8$ is the point of maximum disorder, as we found by brute force above. It also shows that $D = 1$ is the minimum energy configuration of the diameter. Although we hadn't hypothesized it, we realize this must be true since $D < 1$ states are symmetric with $D > 1$ as we keep the total packing fraction constant."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SbO81XBxlcrB"
      },
      "source": [
        "This example demonstrates that meaningful insight and optimization efficiency can arise when automatic differentiation is paired with simulation. However, it also highlights a potential pitfall of these approaches: it is critically important to think about the parameterization of the problem when thinking about taking gradients through physical simulations."
      ]
    }
  ]
}